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12313539000 = 233653719127
BaseRepresentation
bin10110111011111000…
…11011000110111000
31011210011002121000000
423131330123012320
5200204231222000
65353505513000
7614066232420
oct133574330670
934704077000
1012313539000
115249743114
122477942760
1312130c2c69
1484b517480
154c1056000
hex2ddf1b1b8

12313539000 has 896 divisors, whose sum is σ = 52380057600. Its totient is φ = 2645395200.

The previous prime is 12313538999. The next prime is 12313539013. The reversal of 12313539000 is 93531321.

It is a happy number.

12313539000 is a `hidden beast` number, since 123 + 1 + 3 + 539 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 96956937 + ... + 96957063.

Almost surely, 212313539000 is an apocalyptic number.

12313539000 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 12313539000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26190028800).

12313539000 is an abundant number, since it is smaller than the sum of its proper divisors (40066518600).

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

12313539000 is a wasteful number, since it uses less digits than its factorization.

12313539000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 12313539000 in words is "twelve billion, three hundred thirteen million, five hundred thirty-nine thousand".