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117539311680 = 26335741107443
BaseRepresentation
bin110110101110111100…
…0111001000001000000
3102020101111221200201000
41231131320321001000
53411210030433210
6125555151212000
711330506443660
oct1553570710100
9366344850630
10117539311680
114593697160a
121a943817000
13b11247038b
14599060a1a0
1530cde42ac0
hex1b5de39040

117539311680 has 896 divisors, whose sum is σ = 491089858560. Its totient is φ = 25907281920.

The previous prime is 117539311667. The next prime is 117539311691. The reversal of 117539311680 is 86113935711.

117539311680 is a `hidden beast` number, since 1 + 1 + 7 + 539 + 31 + 1 + 6 + 80 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 265325539 + ... + 265325981.

It is an arithmetic number, because the mean of its divisors is an integer number (548091360).

Almost surely, 2117539311680 is an apocalyptic number.

117539311680 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 117539311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245544929280).

117539311680 is an abundant number, since it is smaller than the sum of its proper divisors (373550546880).

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

117539311680 is a wasteful number, since it uses less digits than its factorization.

117539311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 117539311680 in words is "one hundred seventeen billion, five hundred thirty-nine million, three hundred eleven thousand, six hundred eighty".