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12608930880 = 2633572132979
BaseRepresentation
bin10111011111000110…
…10000010001000000
31012112201221001111000
423233203100101000
5201310341242010
65443101052000
7624314100300
oct135743202100
935481831430
1012608930880
11539045a437
12253a857000
13125c369460
1487884b600
154dbe547c0
hex2ef8d0440

12608930880 has 1344 divisors, whose sum is σ = 58375296000. Its totient is φ = 2536095744.

The previous prime is 12608930869. The next prime is 12608930927. The reversal of 12608930880 is 8803980621.

12608930880 is a `hidden beast` number, since 1 + 2 + 608 + 9 + 30 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159606681 + ... + 159606759.

It is an arithmetic number, because the mean of its divisors is an integer number (43434000).

Almost surely, 212608930880 is an apocalyptic number.

12608930880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12608930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648000).

12608930880 is an abundant number, since it is smaller than the sum of its proper divisors (45766365120).

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

12608930880 is a wasteful number, since it uses less digits than its factorization.

12608930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12608930880 in words is "twelve billion, six hundred eight million, nine hundred thirty thousand, eight hundred eighty".