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12013365456 = 2432431940143
BaseRepresentation
bin10110011000000110…
…10110100011010000
31011000020021012022100
423030003112203100
5144100410143311
65304024040400
7603462631041
oct131403264320
934006235270
1012013365456
115105260304
1223b3303100
131195b64191
1481d6da8c8
154a4a10a56
hex2cc0d68d0

12013365456 has 60 divisors (see below), whose sum is σ = 34402633408. Its totient is φ = 3911326272.

The previous prime is 12013365389. The next prime is 12013365479. The reversal of 12013365456 is 65456331021.

12013365456 is a `hidden beast` number, since 12 + 0 + 133 + 65 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12013365456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963880 + ... + 976263.

Almost surely, 212013365456 is an apocalyptic number.

12013365456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12013365456 is an abundant number, since it is smaller than the sum of its proper divisors (22389267952).

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

12013365456 is a wasteful number, since it uses less digits than its factorization.

12013365456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940200 (or 1940191 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 12013365456 its reverse (65456331021), we get a palindrome (77469696477).

The spelling of 12013365456 in words is "twelve billion, thirteen million, three hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 1940143 3880286 5820429 7760572 11640858 15521144 17461287 23281716 31042288 34922574 46563432 69845148 83426149 93126864 139690296 166852298 250278447 279380592 333704596 500556894 667409192 750835341 1001113788 1334818384 1501670682 2002227576 3003341364 4004455152 6006682728 12013365456