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116583796368 = 24341317094049
BaseRepresentation
bin110110010010011101…
…1111000111010010000
3102010220220222111010000
41230210323320322100
53402230422440433
6125320255210000
711265024630024
oct1544473707220
9363826874100
10116583796368
1145496571836
121a717816900
13acbc50a0c0
1458dd75c384
1530750ec113
hex1b24ef8e90

116583796368 has 200 divisors, whose sum is σ = 363685707000. Its totient is φ = 35842093056.

The previous prime is 116583796331. The next prime is 116583796447. The reversal of 116583796368 is 863697385611.

116583796368 is a `hidden beast` number, since 1 + 16 + 583 + 7 + 9 + 6 + 36 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1288235664 + 115295560704 = 35892^2 + 339552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28791208 + ... + 28795256.

It is an arithmetic number, because the mean of its divisors is an integer number (1818428535).

Almost surely, 2116583796368 is an apocalyptic number.

116583796368 is a gapful number since it is divisible by the number (18) 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 116583796368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181842853500).

116583796368 is an abundant number, since it is smaller than the sum of its proper divisors (247101910632).

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

116583796368 is a wasteful number, since it uses less digits than its factorization.

116583796368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5776 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 116583796368 in words is "one hundred sixteen billion, five hundred eighty-three million, seven hundred ninety-six thousand, three hundred sixty-eight".