Search a number
-
+
19873233286992 = 2433291798862041
BaseRepresentation
bin1001000010011000110010…
…00000101011011101010000
32121100212021210112020222000
410201030121000223131100
510101100340210140432
6110133345355314000
74120536150523131
oct441143100533520
977325253466860
1019873233286992
116372211107318
12228b69574b900
13b12065233b97
144c9c26363c88
15246e35ce857c
hex12131902b750

19873233286992 has 160 divisors (see below), whose sum is σ = 59340233232000. Its totient is φ = 6360250659840.

The previous prime is 19873233286987. The next prime is 19873233286997. The reversal of 19873233286992 is 29968233237891.

It is a happy number.

19873233286992 is a `hidden beast` number, since 1 + 98 + 73 + 2 + 3 + 328 + 69 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (19873233286987) and next prime (19873233286997).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 19873233286992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19873233286997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188509 + ... + 6673532.

It is an arithmetic number, because the mean of its divisors is an integer number (370876457700).

Almost surely, 219873233286992 is an apocalyptic number.

19873233286992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19873233286992 is an abundant number, since it is smaller than the sum of its proper divisors (39466999945008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19873233286992 is a wasteful number, since it uses less digits than its factorization.

19873233286992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862266 (or 8862254 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 19873233286992 in words is "nineteen trillion, eight hundred seventy-three billion, two hundred thirty-three million, two hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 179 216 232 261 348 358 432 464 522 537 696 716 783 1044 1074 1392 1432 1566 1611 2088 2148 2864 3132 3222 4176 4296 4833 5191 6264 6444 8592 9666 10382 12528 12888 15573 19332 20764 25776 31146 38664 41528 46719 62292 77328 83056 93438 124584 140157 186876 249168 280314 373752 560628 747504 1121256 2242512 8862041 17724082 26586123 35448164 53172246 70896328 79758369 106344492 141792656 159516738 212688984 239275107 256999189 319033476 425377968 478550214 513998378 638066952 770997567 957100428 1027996756 1276133904 1541995134 1586305339 1914200856 2055993512 2312992701 3083990268 3172610678 3828401712 4111987024 4625985402 4758916017 6167980536 6345221356 6938978103 9251970804 9517832034 12335961072 12690442712 13877956206 14276748051 18503941608 19035664068 25380885424 27755912412 28553496102 37007883216 38071328136 42830244153 46002854831 55511824824 57106992204 76142656272 85660488306 92005709662 111023649648 114213984408 138008564493 171320976612 184011419324 228427968816 276017128986 342641953224 368022838648 414025693479 552034257972 685283906448 736045677296 828051386958 1104068515944 1242077080437 1656102773916 2208137031888 2484154160874 3312205547832 4968308321748 6624411095664 9936616643496 19873233286992