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12313896960 = 211351721973
BaseRepresentation
bin10110111011111011…
…10010100000000000
31011210011202210000210
423131331302200000
5200204324200320
65353521314120
7614102253141
oct133575624000
934704683023
1012313896960
115249968052
122477a95940
1312131b9b81
1484b5abac8
154c10c70e0
hex2ddf72800

12313896960 has 576 divisors, whose sum is σ = 44654500800. Its totient is φ = 2887778304.

The previous prime is 12313896949. The next prime is 12313896997. The reversal of 12313896960 is 6969831321.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 168683484 + ... + 168683556.

It is an arithmetic number, because the mean of its divisors is an integer number (77525175).

Almost surely, 212313896960 is an apocalyptic number.

12313896960 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 12313896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327250400).

12313896960 is an abundant number, since it is smaller than the sum of its proper divisors (32340603840).

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

12313896960 is a wasteful number, since it uses less digits than its factorization.

12313896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 12313896960 in words is "twelve billion, three hundred thirteen million, eight hundred ninety-six thousand, nine hundred sixty".