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116943759072 = 253474192343
BaseRepresentation
bin110110011101001100…
…1000010011011100000
3102011212000022111010000
41230322121002123200
53404000100242242
6125420114340000
711306655360000
oct1547231023340
9364760274100
10116943759072
1145660781078
121a7b828a600
13b048c70b9a
1459354a0000
153096a02a4c
hex1b3a6426e0

116943759072 has 1200 divisors, whose sum is σ = 450954725760. Its totient is φ = 29573558784.

The previous prime is 116943759047. The next prime is 116943759083. The reversal of 116943759072 is 270957349611.

116943759072 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 43 + 7 + 590 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 199 ways as a sum of consecutive naturals, for example, 2719622283 + ... + 2719622325.

Almost surely, 2116943759072 is an apocalyptic number.

116943759072 is a gapful number since it is divisible by the number (12) 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 116943759072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225477362880).

116943759072 is an abundant number, since it is smaller than the sum of its proper divisors (334010966688).

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

116943759072 is an equidigital number, since it uses as much as digits as its factorization.

116943759072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 116943759072 in words is "one hundred sixteen billion, nine hundred forty-three million, seven hundred fifty-nine thousand, seventy-two".