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116047185408 = 293371131753
BaseRepresentation
bin110110000010011110…
…0111000011000000000
3102002112112020211021000
41230010330320120000
53400131034413113
6125151125532000
711245520541420
oct1540474703000
9362475224230
10116047185408
114524067a000
121a5a7b74000
13ac352a6c1b
14588c396480
153042e51373
hex1b04f38600

116047185408 has 1280 divisors, whose sum is σ = 465835898880. Its totient is φ = 27833794560.

The previous prime is 116047185389. The next prime is 116047185433. The reversal of 116047185408 is 804581740611.

116047185408 is a `hidden beast` number, since 1 + 1 + 60 + 4 + 7 + 185 + 408 = 666.

It is a super-2 number, since 2×1160471854082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2189569510 + ... + 2189569562.

It is an arithmetic number, because the mean of its divisors is an integer number (363934296).

Almost surely, 2116047185408 is an apocalyptic number.

116047185408 is a gapful number since it is divisible by the number (18) 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 116047185408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232917949440).

116047185408 is an abundant number, since it is smaller than the sum of its proper divisors (349788713472).

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

116047185408 is an equidigital number, since it uses as much as digits as its factorization.

116047185408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 116047185408 in words is "one hundred sixteen billion, forty-seven million, one hundred eighty-five thousand, four hundred eight".