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117538565760 = 273257211172131
BaseRepresentation
bin110110101110111011…
…0000010111010000000
3102020101110112210111100
41231131312002322000
53411204333101020
6125555123214400
711330500216200
oct1553566027200
9366343483440
10117538565760
1145936502150
121a943517400
13b11226b9c5
145990494400
1530cdd46a90
hex1b5dd82e80

117538565760 has 1728 divisors, whose sum is σ = 551319294240. Its totient is φ = 22811443200.

The previous prime is 117538565737. The next prime is 117538565789. The reversal of 117538565760 is 67565835711.

It is a happy number.

117538565760 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 3 + 8 + 565 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117538565697 and 117538565706.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 897240895 + ... + 897241025.

Almost surely, 2117538565760 is an apocalyptic number.

117538565760 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 117538565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275659647120).

117538565760 is an abundant number, since it is smaller than the sum of its proper divisors (433780728480).

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

117538565760 is a wasteful number, since it uses less digits than its factorization.

117538565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 117538565760 in words is "one hundred seventeen billion, five hundred thirty-eight million, five hundred sixty-five thousand, seven hundred sixty".