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12316375008 = 2532727391181
BaseRepresentation
bin10110111100001110…
…01111011111100000
31011210100102200021100
423132013033133200
5200210443000013
65354050354400
7614132313600
oct133607173740
934710380240
1012316375008
1152502aa923
12247888ba00
131213876a82
1484ba54c00
154c1416473
hex2de1cf7e0

12316375008 has 216 divisors, whose sum is σ = 40832686440. Its totient is φ = 3511226880.

The previous prime is 12316374919. The next prime is 12316375009. The reversal of 12316375008 is 80057361321.

12316375008 is a `hidden beast` number, since 12 + 3 + 1 + 637 + 5 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12316375009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10428178 + ... + 10429358.

It is an arithmetic number, because the mean of its divisors is an integer number (189040215).

Almost surely, 212316375008 is an apocalyptic number.

12316375008 is a gapful number since it is divisible by the number (18) 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 12316375008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20416343220).

12316375008 is an abundant number, since it is smaller than the sum of its proper divisors (28516311432).

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

12316375008 is a wasteful number, since it uses less digits than its factorization.

12316375008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12316375008 in words is "twelve billion, three hundred sixteen million, three hundred seventy-five thousand, eight".