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13882863720 = 233511102110301
BaseRepresentation
bin11001110110111101…
…11011000001101000
31022211112001112210210
430323132323001220
5211413003114340
610213325541120
71001013252225
oct147336730150
938745045723
1013882863720
115984572aa0
1228354147a0
13140327857b
14959b0494c
15563be6180
hex33b7bb068

13882863720 has 128 divisors (see below), whose sum is σ = 45483742080. Its totient is φ = 3361920000.

The previous prime is 13882863719. The next prime is 13882863739. The reversal of 13882863720 is 2736828831.

It is a self number, because there is not a number n which added to its sum of digits gives 13882863720.

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 31 ways as a sum of consecutive naturals, for example, 1342570 + ... + 1352870.

It is an arithmetic number, because the mean of its divisors is an integer number (355341735).

Almost surely, 213882863720 is an apocalyptic number.

13882863720 is a gapful number since it is divisible by the number (10) 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 13882863720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741871040).

13882863720 is an abundant number, since it is smaller than the sum of its proper divisors (31600878360).

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

13882863720 is a wasteful number, since it uses less digits than its factorization.

13882863720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11347 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 13882863720 in words is "thirteen billion, eight hundred eighty-two million, eight hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1021 1320 2042 3063 4084 5105 6126 8168 10210 10301 11231 12252 15315 20420 20602 22462 24504 30630 30903 33693 40840 41204 44924 51505 56155 61260 61806 67386 82408 89848 103010 112310 113311 122520 123612 134772 154515 168465 206020 224620 226622 247224 269544 309030 336930 339933 412040 449240 453244 566555 618060 673860 679866 906488 1133110 1236120 1347720 1359732 1699665 2266220 2719464 3399330 4532440 6798660 10517321 13597320 21034642 31551963 42069284 52586605 63103926 84138568 105173210 115690531 126207852 157759815 210346420 231381062 252415704 315519630 347071593 420692840 462762124 578452655 631039260 694143186 925524248 1156905310 1262078520 1388286372 1735357965 2313810620 2776572744 3470715930 4627621240 6941431860 13882863720