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116464576704 = 26372234312517
BaseRepresentation
bin110110001110111010…
…1000110100011000000
3102010121121122111110220
41230131311012203000
53402004412423304
6125300400023040
711262046365600
oct1543565064300
9363547574426
10116464576704
1145435243293
121a6a3901a80
13aca08c7418
1458cb9a6c00
1530698ecad9
hex1b1dd468c0

116464576704 has 336 divisors, whose sum is σ = 382769595648. Its totient is φ = 31086139392.

The previous prime is 116464576703. The next prime is 116464576729. The reversal of 116464576704 is 407675464611.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (116464576703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9298254 + ... + 9310770.

Almost surely, 2116464576704 is an apocalyptic number.

116464576704 is a gapful number since it is divisible by the number (14) 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 116464576704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191384797824).

116464576704 is an abundant number, since it is smaller than the sum of its proper divisors (266305018944).

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

116464576704 is a wasteful number, since it uses less digits than its factorization.

116464576704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612 (or 12595 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 116464576704 in words is "one hundred sixteen billion, four hundred sixty-four million, five hundred seventy-six thousand, seven hundred four".