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117891634680 = 233751779273
BaseRepresentation
bin110110111001011100…
…0111001010111111000
3102021022001220120000000
41231302320321113320
53412420224302210
6130054134513000
711342315234511
oct1556270712770
9367261816000
10117891634680
1145aa7833046
121aa21805760
13b16a45aa21
1459c531da08
1530eed39ac0
hex1b72e395f8

117891634680 has 256 divisors, whose sum is σ = 421230326400. Its totient is φ = 29588115456.

The previous prime is 117891634657. The next prime is 117891634709. The reversal of 117891634680 is 86436198711.

117891634680 is a `hidden beast` number, since 1 + 17 + 8 + 9 + 163 + 468 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1447524 + ... + 1526796.

Almost surely, 2117891634680 is an apocalyptic number.

117891634680 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 117891634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210615163200).

117891634680 is an abundant number, since it is smaller than the sum of its proper divisors (303338691720).

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

117891634680 is an equidigital number, since it uses as much as digits as its factorization.

117891634680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79322 (or 79300 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 117891634680 in words is "one hundred seventeen billion, eight hundred ninety-one million, six hundred thirty-four thousand, six hundred eighty".