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116863560000 = 263554111093
BaseRepresentation
bin110110011010110011…
…1000110100101000000
3102011122102101221200000
41230311213012211000
53403314032410000
6125404131400000
711304662604315
oct1546547064500
9364572357600
10116863560000
114561a484350
121a795453000
13b035471005
145928984d0c
15308e960000
hex1b359c6940

116863560000 has 840 divisors, whose sum is σ = 473974204704. Its totient is φ = 28304640000.

The previous prime is 116863559983. The next prime is 116863560041. The reversal of 116863560000 is 65368611.

It is a happy number.

116863560000 is a `hidden beast` number, since 1 + 16 + 8 + 6 + 35 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 106919454 + ... + 106920546.

Almost surely, 2116863560000 is an apocalyptic number.

116863560000 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 116863560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236987102352).

116863560000 is an abundant number, since it is smaller than the sum of its proper divisors (357110644704).

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

116863560000 is an equidigital number, since it uses as much as digits as its factorization.

116863560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 116863560000 in words is "one hundred sixteen billion, eight hundred sixty-three million, five hundred sixty thousand".