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116053645824 = 2932232961619
BaseRepresentation
bin110110000010101010…
…1100001101000000000
3102002112222102001021200
41230011111201220000
53400134213131244
6125151520221200
711245626466434
oct1540525415000
9362488361250
10116053645824
1145244291896
121a5aa16a800
13ac3672965c
14588d1989c4
1530437ca669
hex1b05561a00

116053645824 has 480 divisors, whose sum is σ = 368073763200. Its totient is φ = 35084206080.

The previous prime is 116053645817. The next prime is 116053645849. The reversal of 116053645824 is 428546350611.

116053645824 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 5 + 3 + 64 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116053645824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187485387 + ... + 187486005.

It is an arithmetic number, because the mean of its divisors is an integer number (766820340).

Almost surely, 2116053645824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116053645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184036881600).

116053645824 is an abundant number, since it is smaller than the sum of its proper divisors (252020117376).

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

116053645824 is a wasteful number, since it uses less digits than its factorization.

116053645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 116053645824 in words is "one hundred sixteen billion, fifty-three million, six hundred forty-five thousand, eight hundred twenty-four".