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117405535104 = 27331113237563
BaseRepresentation
bin110110101010111101…
…0100100101110000000
3102020001012020010202000
41231111322210232000
53410421304110404
6125534012024000
711324263403544
oct1552572445600
9366035203660
10117405535104
1145878400260
121a906a62000
13b0c0831940
14597a945a24
1530c231a339
hex1b55ea4b80

117405535104 has 256 divisors, whose sum is σ = 407089670400. Its totient is φ = 32840570880.

The previous prime is 117405535103. The next prime is 117405535151. The reversal of 117405535104 is 401535504711.

117405535104 is a `hidden beast` number, since 1 + 17 + 4 + 0 + 5 + 535 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117405535103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375427 + ... + 612989.

It is an arithmetic number, because the mean of its divisors is an integer number (1590194025).

Almost surely, 2117405535104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117405535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203544835200).

117405535104 is an abundant number, since it is smaller than the sum of its proper divisors (289684135296).

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

117405535104 is a wasteful number, since it uses less digits than its factorization.

117405535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237610 (or 237592 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 117405535104 in words is "one hundred seventeen billion, four hundred five million, five hundred thirty-five thousand, one hundred four".