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113326616016 = 2432786990389
BaseRepresentation
bin110100110001011001…
…0101110110111010000
3101211111221000120122200
41221202302232313100
53324043103203031
6124021142403200
711121224225265
oct1514262566720
9354457016580
10113326616016
1144074a13a49
1219b68a30500
13a8c076ab53
1456b0d2b26c
152e341a68e6
hex1a62caedd0

113326616016 has 30 divisors (see below), whose sum is σ = 317157127170. Its totient is φ = 37775538624.

The previous prime is 113326615973. The next prime is 113326616017. The reversal of 113326616016 is 610616623311.

113326616016 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 26 + 616 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67870670400 + 45455945616 = 260520^2 + 213204^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113326616017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 393495051 + ... + 393495338.

It is an arithmetic number, because the mean of its divisors is an integer number (10571904239).

Almost surely, 2113326616016 is an apocalyptic number.

113326616016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113326616016 is an abundant number, since it is smaller than the sum of its proper divisors (203830511154).

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

113326616016 is a wasteful number, since it uses less digits than its factorization.

113326616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786990403 (or 786990394 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 113326616016 in words is "one hundred thirteen billion, three hundred twenty-six million, six hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 786990389 1573980778 2360971167 3147961556 4721942334 6295923112 7082913501 9443884668 12591846224 14165827002 18887769336 28331654004 37775538672 56663308008 113326616016