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112474600056 = 233371346712253
BaseRepresentation
bin110100011000000000…
…0100011001001111000
3101202022112210200111000
41220300000203021320
53320321444200211
6123400425005000
711061140216610
oct1506000431170
9352275720430
10112474600056
1143777a85825
121996b623760
13a7b60a50b0
14562db01a40
152dd44a7656
hex1a30023278

112474600056 has 256 divisors, whose sum is σ = 385383398400. Its totient is φ = 29597695488.

The previous prime is 112474600009. The next prime is 112474600061. The reversal of 112474600056 is 650006474211.

112474600056 is a `hidden beast` number, since 1 + 1 + 2 + 47 + 4 + 600 + 0 + 5 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9173226 + ... + 9185478.

It is an arithmetic number, because the mean of its divisors is an integer number (1505403900).

Almost surely, 2112474600056 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 112474600056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192691699200).

112474600056 is an abundant number, since it is smaller than the sum of its proper divisors (272908798344).

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

112474600056 is a wasteful number, since it uses less digits than its factorization.

112474600056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755 (or 12745 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 112474600056 in words is "one hundred twelve billion, four hundred seventy-four million, six hundred thousand, fifty-six".