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12936155904 = 28327978269
BaseRepresentation
bin11000000110000111…
…00001001100000000
31020101112122210211100
430003003201030000
5202443123442104
65535350414400
7635366340150
oct140303411400
936345583740
1012936155904
115539139441
122610361400
1312b20aa129
148aa0aa760
1550aa40139
hex3030e1300

12936155904 has 216 divisors, whose sum is σ = 43071086240. Its totient is φ = 3657498624.

The previous prime is 12936155879. The next prime is 12936155923. The reversal of 12936155904 is 40955163921.

12936155904 is a `hidden beast` number, since 1 + 2 + 93 + 6 + 1 + 559 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12936155904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1560282 + ... + 1568550.

Almost surely, 212936155904 is an apocalyptic number.

12936155904 is a gapful number since it is divisible by the number (14) 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 12936155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21535543120).

12936155904 is an abundant number, since it is smaller than the sum of its proper divisors (30134930336).

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

12936155904 is an equidigital number, since it uses as much as digits as its factorization.

12936155904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 12936155904 in words is "twelve billion, nine hundred thirty-six million, one hundred fifty-five thousand, nine hundred four".