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13964504112 = 2433132486557
BaseRepresentation
bin11010000000101100…
…10110110000110000
31100001012200022101000
431000112112300300
5212044403112422
610225403442000
71003024216656
oct150026266060
940035608330
1013964504112
115a16664699
122858826300
1314171614b0
149668b6dd6
1556ae70cac
hex340596c30

13964504112 has 80 divisors (see below), whose sum is σ = 43166646880. Its totient is φ = 4296768768.

The previous prime is 13964504093. The next prime is 13964504129. The reversal of 13964504112 is 21140546931.

It is a happy number.

13964504112 is a `hidden beast` number, since 1 + 3 + 9 + 645 + 0 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237663 + ... + 1248894.

It is an arithmetic number, because the mean of its divisors is an integer number (539583086).

Almost surely, 213964504112 is an apocalyptic number.

13964504112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13964504112 is an abundant number, since it is smaller than the sum of its proper divisors (29202142768).

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

13964504112 is a wasteful number, since it uses less digits than its factorization.

13964504112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486587 (or 2486575 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13964504112 in words is "thirteen billion, nine hundred sixty-four million, five hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 2486557 4973114 7459671 9946228 14919342 19892456 22379013 29838684 32325241 39784912 44758026 59677368 64650482 67137039 89516052 96975723 119354736 129300964 134274078 179032104 193951446 258601928 268548156 290927169 358064208 387902892 517203856 537096312 581854338 775805784 872781507 1074192624 1163708676 1551611568 1745563014 2327417352 3491126028 4654834704 6982252056 13964504112