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117058056192 = 21232711223163
BaseRepresentation
bin110110100000100110…
…1000011000000000000
3102012010222101101021200
41231001031003000000
53404213330244232
6125435320221200
711312544026520
oct1550115030000
9365128341250
10117058056192
114570a248200
121a82a60a800
13b06684c10c
145946733680
1530a1a7d77c
hex1b41343000

117058056192 has 936 divisors, whose sum is σ = 445940581632. Its totient is φ = 28904325120.

The previous prime is 117058056173. The next prime is 117058056197. The reversal of 117058056192 is 291650850711.

117058056192 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 5 + 80 + 561 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117058056197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 718147503 + ... + 718147665.

Almost surely, 2117058056192 is an apocalyptic number.

117058056192 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 117058056192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222970290816).

117058056192 is an abundant number, since it is smaller than the sum of its proper divisors (328882525440).

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

117058056192 is a wasteful number, since it uses less digits than its factorization.

117058056192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 117058056192 in words is "one hundred seventeen billion, fifty-eight million, fifty-six thousand, one hundred ninety-two".