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12313928880 = 24335111927277
BaseRepresentation
bin10110111011111011…
…11010010010110000
31011210011211101211000
423131331322102300
5200204331211010
65353522122000
7614102445201
oct133575722260
934704741730
1012313928880
11524998a030
122477ab0300
1312131cb566
1484b5b95a8
154c10d17c0
hex2ddf7a4b0

12313928880 has 320 divisors, whose sum is σ = 48707596800. Its totient is φ = 2827975680.

The previous prime is 12313928849. The next prime is 12313928897. The reversal of 12313928880 is 8882931321.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 437802 + ... + 465078.

It is an arithmetic number, because the mean of its divisors is an integer number (152211240).

Almost surely, 212313928880 is an apocalyptic number.

12313928880 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 12313928880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24353798400).

12313928880 is an abundant number, since it is smaller than the sum of its proper divisors (36393667920).

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

12313928880 is a wasteful number, since it uses less digits than its factorization.

12313928880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27329 (or 27317 counting only the distinct ones).

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

The spelling of 12313928880 in words is "twelve billion, three hundred thirteen million, nine hundred twenty-eight thousand, eight hundred eighty".