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12616345314 = 2321975216829
BaseRepresentation
bin10111011111111111…
…00010011011100010
31012120020212202011200
423233333202123202
5201314241022224
65443524022030
7624434110566
oct135777423342
935506782150
1012616345314
115394663a71
122541231916
131260a641b1
1487981b6a6
154dc91b5c9
hex2effe26e2

12616345314 has 48 divisors (see below), whose sum is σ = 27530937720. Its totient is φ = 4175458560.

The previous prime is 12616345277. The next prime is 12616345327. The reversal of 12616345314 is 41354361621.

12616345314 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 634 + 5 + 3 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12295039689 + 321305625 = 110883^2 + 17925^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844052 + ... + 1850880.

Almost surely, 212616345314 is an apocalyptic number.

12616345314 is an abundant number, since it is smaller than the sum of its proper divisors (14914592406).

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

12616345314 is a wasteful number, since it uses less digits than its factorization.

12616345314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7552 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12616345314 in words is "twelve billion, six hundred sixteen million, three hundred forty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 197 394 521 591 1042 1182 1563 1773 3126 3546 4689 6829 9378 13658 20487 40974 61461 102637 122922 205274 307911 615822 923733 1345313 1847466 2690626 3557909 4035939 7115818 8071878 10673727 12107817 21347454 24215634 32021181 64042362 700908073 1401816146 2102724219 4205448438 6308172657 12616345314