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116916980544 = 26327134395081
BaseRepresentation
bin110110011100011001…
…0111000101101000000
3102011210010220222212200
41230320302320231000
53403421221334134
6125413320353200
711306211636330
oct1547062705500
9364703828780
10116916980544
1145647650a61
121a7ab315800
13b0435562c0
145931acd0c0
1530944b3499
hex1b38cb8b40

116916980544 has 336 divisors, whose sum is σ = 413478024960. Its totient is φ = 30758952960.

The previous prime is 116916980539. The next prime is 116916980573. The reversal of 116916980544 is 445089619611.

116916980544 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 1 + 6 + 98 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 23008084 + ... + 23013164.

It is an arithmetic number, because the mean of its divisors is an integer number (1230589360).

Almost surely, 2116916980544 is an apocalyptic number.

116916980544 is a gapful number since it is divisible by the number (14) 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 116916980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739012480).

116916980544 is an abundant number, since it is smaller than the sum of its proper divisors (296561044416).

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

116916980544 is a wasteful number, since it uses less digits than its factorization.

116916980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 116916980544 in words is "one hundred sixteen billion, nine hundred sixteen million, nine hundred eighty thousand, five hundred forty-four".