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112523056074 = 2321113239317577
BaseRepresentation
bin110100011001011100…
…1011001001111001010
3101202102220222111122100
41220302321121033022
53320421400243244
6123405315334230
711062266124032
oct1506271311712
9352386874570
10112523056074
11437a2371520
12199838b1376
13a7c313c7b0
1456363168c2
152dd8879b69
hex1a32e593ca

112523056074 has 192 divisors, whose sum is σ = 289028113920. Its totient is φ = 31190261760.

The previous prime is 112523056073. The next prime is 112523056081. The reversal of 112523056074 is 470650325211.

112523056074 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 23 + 0 + 560 + 74 = 666.

It is a super-2 number, since 2×1125230560742 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112523056073) 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 95 ways as a sum of consecutive naturals, for example, 195013674 + ... + 195014250.

It is an arithmetic number, because the mean of its divisors is an integer number (1505354760).

Almost surely, 2112523056074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112523056074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144514056960).

112523056074 is an abundant number, since it is smaller than the sum of its proper divisors (176505057846).

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

112523056074 is a wasteful number, since it uses less digits than its factorization.

112523056074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 112523056074 in words is "one hundred twelve billion, five hundred twenty-three million, fifty-six thousand, seventy-four".