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117992534400 = 27325213833797
BaseRepresentation
bin110110111100011100…
…1110011000110000000
3102021120002202210101200
41231320321303012000
53413122042100100
6130112141301200
711344651665006
oct1557071630600
9367502683350
10117992534400
1146049789544
121aa4b564800
13b185327bc0
1459d48a6a76
153108b1ae00
hex1b78e73180

117992534400 has 576 divisors, whose sum is σ = 458994528720. Its totient is φ = 28686827520.

The previous prime is 117992534381. The next prime is 117992534417. The reversal of 117992534400 is 4435299711.

117992534400 is a `hidden beast` number, since 1 + 1 + 79 + 9 + 2 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31073302 + ... + 31077098.

Almost surely, 2117992534400 is an apocalyptic number.

117992534400 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 117992534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229497264360).

117992534400 is an abundant number, since it is smaller than the sum of its proper divisors (341001994320).

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

117992534400 is a wasteful number, since it uses less digits than its factorization.

117992534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 117992534400 in words is "one hundred seventeen billion, nine hundred ninety-two million, five hundred thirty-four thousand, four hundred".