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117993091200 = 27352231513539
BaseRepresentation
bin110110111100011101…
…1111011000010000000
3102021120010211002011220
41231320323323002000
53413122212404300
6130112201235040
711344656504225
oct1557073730200
9367503732156
10117993091200
114604a029906
121aa4b792a80
13b18549147a
1459d49ad94c
153108bcada0
hex1b78efb080

117993091200 has 384 divisors, whose sum is σ = 408338150400. Its totient is φ = 29889024000.

The previous prime is 117993091169. The next prime is 117993091213. The reversal of 117993091200 is 2190399711.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33339031 + ... + 33342569.

It is an arithmetic number, because the mean of its divisors is an integer number (1063380600).

Almost surely, 2117993091200 is an apocalyptic number.

117993091200 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 117993091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204169075200).

117993091200 is an abundant number, since it is smaller than the sum of its proper divisors (290345059200).

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

117993091200 is a wasteful number, since it uses less digits than its factorization.

117993091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 42.

The spelling of 117993091200 in words is "one hundred seventeen billion, nine hundred ninety-three million, ninety-one thousand, two hundred".