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12707570304 = 273511132857
BaseRepresentation
bin10111101010110111…
…00010001010000000
31012210121112110100000
423311123202022000
5202011114222204
65500543200000
7626622364632
oct136533421200
935717473300
1012707570304
115431101720
1225678a6000
131276924890
148879a6a52
154e593b039
hex2f56e2280

12707570304 has 384 divisors, whose sum is σ = 44566966080. Its totient is φ = 3553320960.

The previous prime is 12707570279. The next prime is 12707570333. The reversal of 12707570304 is 40307570721.

12707570304 is a `hidden beast` number, since 12 + 70 + 7 + 570 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×127075703042 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4446444 + ... + 4449300.

Almost surely, 212707570304 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 12707570304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22283483040).

12707570304 is an abundant number, since it is smaller than the sum of its proper divisors (31859395776).

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

12707570304 is a wasteful number, since it uses less digits than its factorization.

12707570304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 12707570304 in words is "twelve billion, seven hundred seven million, five hundred seventy thousand, three hundred four".