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117638907012 = 22331133126399
BaseRepresentation
bin110110110001111010…
…0110100010010000100
3102020122110100122211000
41231203310310102010
53411411030011022
6130013110013300
711333126132244
oct1554364642204
9366573318730
10117638907012
1145988107000
121a971047230
13b129ca1923
14599d933b24
1530d7a676ac
hex1b63d34484

117638907012 has 192 divisors, whose sum is σ = 346300416000. Its totient is φ = 34496906400.

The previous prime is 117638906939. The next prime is 117638907017. The reversal of 117638907012 is 210709836711.

117638907012 is a `hidden beast` number, since 1 + 1 + 7 + 638 + 9 + 0 + 7 + 0 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (117638907017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4442989 + ... + 4469387.

It is an arithmetic number, because the mean of its divisors is an integer number (1803648000).

Almost surely, 2117638907012 is an apocalyptic number.

117638907012 is a gapful number since it is divisible by the number (12) 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 117638907012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173150208000).

117638907012 is an abundant number, since it is smaller than the sum of its proper divisors (228661508988).

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

117638907012 is a wasteful number, since it uses less digits than its factorization.

117638907012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26476 (or 26446 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 117638907012 in words is "one hundred seventeen billion, six hundred thirty-eight million, nine hundred seven thousand, twelve".