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13116685824 = 2932112311251
BaseRepresentation
bin11000011011101000…
…01011111000000000
31020212010100200022200
430031310023320000
5203330332421244
610005320033200
7643020663354
oct141564137000
936763320280
1013116685824
115621033220
122660902800
131310608278
148c6061464
1551b800669
hex30dd0be00

13116685824 has 240 divisors, whose sum is σ = 43096420224. Its totient is φ = 3801600000.

The previous prime is 13116685793. The next prime is 13116685849. The reversal of 13116685824 is 42858661131.

13116685824 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 68 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13116685824.

It is a congruent number.

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, 1160199 + ... + 1171449.

Almost surely, 213116685824 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 13116685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548210112).

13116685824 is an abundant number, since it is smaller than the sum of its proper divisors (29979734400).

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

13116685824 is a wasteful number, since it uses less digits than its factorization.

13116685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309 (or 11290 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 13116685824 in words is "thirteen billion, one hundred sixteen million, six hundred eighty-five thousand, eight hundred twenty-four".