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116751962880 = 28325721071933
BaseRepresentation
bin110110010111011110…
…1011001001100000000
3102011100122102020012100
41230232331121030000
53403102000303010
6125345103430400
711302136211300
oct1545675311400
9364318366170
10116751962880
1145572491823
121a763bb5400
13b0182c9a07
145917c15600
153084c692c0
hex1b2ef59300

116751962880 has 648 divisors, whose sum is σ = 474537550032. Its totient is φ = 26423083008.

The previous prime is 116751962879. The next prime is 116751962927. The reversal of 116751962880 is 88269157611.

It is a happy number.

116751962880 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 5 + 1 + 9 + 628 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60398394 + ... + 60400326.

It is an arithmetic number, because the mean of its divisors is an integer number (732311034).

Almost surely, 2116751962880 is an apocalyptic number.

116751962880 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 116751962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237268775016).

116751962880 is an abundant number, since it is smaller than the sum of its proper divisors (357785587152).

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

116751962880 is a wasteful number, since it uses less digits than its factorization.

116751962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 116751962880 in words is "one hundred sixteen billion, seven hundred fifty-one million, nine hundred sixty-two thousand, eight hundred eighty".