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20062313424 = 2432613137297
BaseRepresentation
bin10010101011110011…
…101001101111010000
31220210011210010012100
4102223303221233100
5312041423012144
613114433000400
71310106564456
oct225363515720
956704703170
1020062313424
11856572001a
123a7a9b3100
131b7958489a
14d846a69d6
157c6479269
hex4abce9bd0

20062313424 has 120 divisors (see below), whose sum is σ = 57257217992. Its totient is φ = 6555893760.

The previous prime is 20062313417. The next prime is 20062313441. The reversal of 20062313424 is 42431326002.

20062313424 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 231 + 3 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2275290000 + 17787023424 = 47700^2 + 133368^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2745744 + ... + 2753040.

Almost surely, 220062313424 is an apocalyptic number.

20062313424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20062313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28628608996).

20062313424 is an abundant number, since it is smaller than the sum of its proper divisors (37194904568).

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

20062313424 is a wasteful number, since it uses less digits than its factorization.

20062313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7676 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20062313424 its reverse (42431326002), we get a palindrome (62493639426).

The spelling of 20062313424 in words is "twenty billion, sixty-two million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 313 366 488 549 626 732 939 976 1098 1252 1464 1878 2196 2504 2817 2928 3756 4392 5008 5634 7297 7512 8784 11268 14594 15024 19093 21891 22536 29188 38186 43782 45072 57279 58376 65673 76372 87564 114558 116752 131346 152744 171837 175128 229116 262692 305488 343674 350256 445117 458232 525384 687348 890234 916464 1050768 1335351 1374696 1780468 2283961 2670702 2749392 3560936 4006053 4567922 5341404 6851883 7121872 8012106 9135844 10682808 13703766 16024212 18271688 20555649 21365616 27407532 32048424 36543376 41111298 54815064 64096848 82222596 109630128 139321621 164445192 278643242 328890384 417964863 557286484 835929726 1114572968 1253894589 1671859452 2229145936 2507789178 3343718904 5015578356 6687437808 10031156712 20062313424