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116913606336 = 263531281863
BaseRepresentation
bin110110011100010011…
…0000000111011000000
3102011202220120120100000
41230320212000323000
53403414340400321
6125413120200000
711306141154102
oct1547046007300
9364686516300
10116913606336
114564575695a
121a7aa169000
13b042944527
145931491572
153094048826
hex1b38980ec0

116913606336 has 336 divisors, whose sum is σ = 360427511808. Its totient is φ = 37536307200.

The previous prime is 116913606307. The next prime is 116913606347. The reversal of 116913606336 is 633606319611.

116913606336 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 1 + 3 + 6 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116913606291 and 116913606300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135473041 + ... + 135473903.

It is an arithmetic number, because the mean of its divisors is an integer number (1072700928).

Almost surely, 2116913606336 is an apocalyptic number.

116913606336 is a gapful number since it is divisible by the number (16) 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 116913606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180213755904).

116913606336 is an abundant number, since it is smaller than the sum of its proper divisors (243513905472).

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

116913606336 is an equidigital number, since it uses as much as digits as its factorization.

116913606336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 116913606336 in words is "one hundred sixteen billion, nine hundred thirteen million, six hundred six thousand, three hundred thirty-six".