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113844057984 = 2733372513547
BaseRepresentation
bin110101000000110100…
…0100111011110000000
3101212211222200100121000
41222001220213132000
53331123034323414
6124144345132000
711140106345406
oct1520150473600
9355758610530
10113844057984
1144310003838
121a09218a000
13a973a1bc27
14571d943476
152e64817b09
hex1a81a27780

113844057984 has 256 divisors, whose sum is σ = 346551609600. Its totient is φ = 36764928000.

The previous prime is 113844057979. The next prime is 113844057997. The reversal of 113844057984 is 489750448311.

113844057984 is a `hidden beast` number, since 1 + 13 + 84 + 405 + 79 + 84 = 666.

113844057984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113844057984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32094099 + ... + 32097645.

It is an arithmetic number, because the mean of its divisors is an integer number (1353717225).

Almost surely, 2113844057984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113844057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173275804800).

113844057984 is an abundant number, since it is smaller than the sum of its proper divisors (232707551616).

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

113844057984 is a wasteful number, since it uses less digits than its factorization.

113844057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 113844057984 in words is "one hundred thirteen billion, eight hundred forty-four million, fifty-seven thousand, nine hundred eighty-four".