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116683839360 = 27335113747353
BaseRepresentation
bin110110010101011100…
…1100001011110000000
3102011011220020012022000
41230222321201132000
53402432030324420
6125334231344000
711300351161404
oct1545271413600
9364156205260
10116683839360
1145537a925a0
121a745222000
13b00716733a
14590cb61104
15307dcae690
hex1b2ae61780

116683839360 has 1024 divisors, whose sum is σ = 474199142400. Its totient is φ = 26860584960.

The previous prime is 116683839359. The next prime is 116683839373. The reversal of 116683839360 is 63938386611.

116683839360 is a `hidden beast` number, since 1 + 166 + 8 + 38 + 393 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 116683839297 and 116683839306.

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 127 ways as a sum of consecutive naturals, for example, 330548944 + ... + 330549296.

It is an arithmetic number, because the mean of its divisors is an integer number (463085100).

Almost surely, 2116683839360 is an apocalyptic number.

116683839360 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 116683839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237099571200).

116683839360 is an abundant number, since it is smaller than the sum of its proper divisors (357515303040).

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

116683839360 is a wasteful number, since it uses less digits than its factorization.

116683839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 116683839360 in words is "one hundred sixteen billion, six hundred eighty-three million, eight hundred thirty-nine thousand, three hundred sixty".