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12314750976 = 212331153191
BaseRepresentation
bin10110111100000010…
…00011000000000000
31011210020101011112000
423132001003000000
5200210034012401
65353551504000
7614112441033
oct133601030000
934706334460
1012314750976
11524a3a0750
122478228000
1312134287c8
1484b75101a
154c11e5186
hex2de043000

12314750976 has 416 divisors, whose sum is σ = 40763658240. Its totient is φ = 3642163200.

The previous prime is 12314750911. The next prime is 12314750993. The reversal of 12314750976 is 67905741321.

12314750976 is a `hidden beast` number, since 1 + 2 + 31 + 47 + 509 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64475041 + ... + 64475231.

Almost surely, 212314750976 is an apocalyptic number.

12314750976 is a gapful number since it is divisible by the number (16) 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 12314750976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20381829120).

12314750976 is an abundant number, since it is smaller than the sum of its proper divisors (28448907264).

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

12314750976 is a wasteful number, since it uses less digits than its factorization.

12314750976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12314750976 in words is "twelve billion, three hundred fourteen million, seven hundred fifty thousand, nine hundred seventy-six".