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113390326896 = 243721114293067
BaseRepresentation
bin110100110011010010…
…1110001010001110000
3101211200100220102112220
41221212211301101300
53324210410430041
6124031340121040
711122626606300
oct1514645612160
9354610812486
10113390326896
11440a7979970
1219b86236180
13a900a16bb2
1456b9593600
152e39a8dd66
hex1a66971470

113390326896 has 240 divisors, whose sum is σ = 372108147840. Its totient is φ = 29421826560.

The previous prime is 113390326883. The next prime is 113390326897. The reversal of 113390326896 is 698623093311.

It is a happy number.

113390326896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113390326897) 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, 36969555 + ... + 36972621.

It is an arithmetic number, because the mean of its divisors is an integer number (1550450616).

Almost surely, 2113390326896 is an apocalyptic number.

113390326896 is a gapful number since it is divisible by the number (16) 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 113390326896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186054073920).

113390326896 is an abundant number, since it is smaller than the sum of its proper divisors (258717820944).

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

113390326896 is a wasteful number, since it uses less digits than its factorization.

113390326896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 113390326896 in words is "one hundred thirteen billion, three hundred ninety million, three hundred twenty-six thousand, eight hundred ninety-six".