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116915774976 = 29337211131771
BaseRepresentation
bin110110011100010111…
…0010010011000000000
3102011210001122202011000
41230320232102120000
53403420414244401
6125413234452000
711306165455500
oct1547056223000
9364701582130
10116915774976
11456469a8220
121a7aaa34000
13b043223650
145931897a00
153094326186
hex1b38b92600

116915774976 has 1920 divisors, whose sum is σ = 507837496320. Its totient is φ = 26011238400.

The previous prime is 116915774923. The next prime is 116915775037. The reversal of 116915774976 is 679477519611.

116915774976 is a `hidden beast` number, since 1 + 1 + 6 + 91 + 57 + 7 + 497 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1646701021 + ... + 1646701091.

It is an arithmetic number, because the mean of its divisors is an integer number (264498696).

Almost surely, 2116915774976 is an apocalyptic number.

116915774976 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 116915774976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253918748160).

116915774976 is an abundant number, since it is smaller than the sum of its proper divisors (390921721344).

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

116915774976 is a wasteful number, since it uses less digits than its factorization.

116915774976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 63.

The spelling of 116915774976 in words is "one hundred sixteen billion, nine hundred fifteen million, seven hundred seventy-four thousand, nine hundred seventy-six".