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116819257500 = 22325411471997
BaseRepresentation
bin110110011001011111…
…0000110100010011100
3102011112100001011001200
41230302332012202130
53403221212220000
6125355510035500
711303614206441
oct1546276064234
9364470034050
10116819257500
11455a7475210
121a782648b90
13b02922c00a
145922b319c8
15308ab0d500
hex1b32f8689c

116819257500 has 180 divisors, whose sum is σ = 402544438296. Its totient is φ = 28319760000.

The previous prime is 116819257483. The next prime is 116819257543. The reversal of 116819257500 is 5752918611.

116819257500 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 92 + 57 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 11502 + ... + 483498.

Almost surely, 2116819257500 is an apocalyptic number.

116819257500 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 116819257500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201272219148).

116819257500 is an abundant number, since it is smaller than the sum of its proper divisors (285725180796).

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

116819257500 is a wasteful number, since it uses less digits than its factorization.

116819257500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472038 (or 472018 counting only the distinct ones).

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

The spelling of 116819257500 in words is "one hundred sixteen billion, eight hundred nineteen million, two hundred fifty-seven thousand, five hundred".