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117477884160 = 2832573132287
BaseRepresentation
bin110110101101000111…
…0100100000100000000
3102020020020100211222200
41231122032210010000
53411043314243120
6125545114433200
711326132353000
oct1553216440400
9366206324880
10117477884160
114590522616a
121a927132800
13b102813730
1459863ba000
1530c885be90
hex1b5a3a4100

117477884160 has 864 divisors, whose sum is σ = 510692582400. Its totient is φ = 24775704576.

The previous prime is 117477884137. The next prime is 117477884221. The reversal of 117477884160 is 61488774711.

117477884160 is a `hidden beast` number, since 1 + 1 + 7 + 477 + 8 + 8 + 4 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117477884097 and 117477884106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51366537 + ... + 51368823.

Almost surely, 2117477884160 is an apocalyptic number.

117477884160 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 117477884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255346291200).

117477884160 is an abundant number, since it is smaller than the sum of its proper divisors (393214698240).

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

117477884160 is a wasteful number, since it uses less digits than its factorization.

117477884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 117477884160 in words is "one hundred seventeen billion, four hundred seventy-seven million, eight hundred eighty-four thousand, one hundred sixty".