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12732868116936 = 233211237791074673
BaseRepresentation
bin1011100101001001101000…
…0101001100000111001000
31200002020202110201211200200
42321102122011030013020
53132103403214220221
643025222053132200
72452630225144602
oct271223205140710
950066673654620
1012732868116936
114069a8511a200
12151786b92a060
137149204ab516
143203ba204172
151713277e4426
hexb949a14c1c8

12732868116936 has 576 divisors, whose sum is σ = 39799012780800. Its totient is φ = 3671214243840.

The previous prime is 12732868116919. The next prime is 12732868116971. The reversal of 12732868116936 is 63961186823721.

12732868116936 is a `hidden beast` number, since 1 + 273 + 286 + 81 + 1 + 6 + 9 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2724771496 + ... + 2724776168.

It is an arithmetic number, because the mean of its divisors is an integer number (69095508300).

Almost surely, 212732868116936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12732868116936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899506390400).

12732868116936 is an abundant number, since it is smaller than the sum of its proper divisors (27066144663864).

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

12732868116936 is a wasteful number, since it uses less digits than its factorization.

12732868116936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4912 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 12732868116936 in words is "twelve trillion, seven hundred thirty-two billion, eight hundred sixty-eight million, one hundred sixteen thousand, nine hundred thirty-six".