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112451706016 = 2513541499661
BaseRepresentation
bin110100010111010100…
…1001101110010100000
3101202020221201112202121
41220232221031302200
53320300114043031
6123354250154024
711060441505256
oct1505651156240
9352227645677
10112451706016
1143766069131
1219963a22914
13a7b141a620
14562aa625d6
152dd2484011
hex1a2ea4dca0

112451706016 has 48 divisors (see below), whose sum is σ = 238860421128. Its totient is φ = 51804748800.

The previous prime is 112451706011. The next prime is 112451706047. The reversal of 112451706016 is 610607154211.

It can be written as a sum of positive squares in 4 ways, for example, as 102848490000 + 9603216016 = 320700^2 + 97996^2 .

It is not an unprimeable number, because it can be changed into a prime (112451706011) 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 7 ways as a sum of consecutive naturals, for example, 24775 + ... + 474886.

Almost surely, 2112451706016 is an apocalyptic number.

112451706016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112451706016 is an abundant number, since it is smaller than the sum of its proper divisors (126408715112).

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

112451706016 is a wasteful number, since it uses less digits than its factorization.

112451706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500225 (or 500217 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 112451706016 in words is "one hundred twelve billion, four hundred fifty-one million, seven hundred six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 541 1082 2164 4328 7033 8656 14066 17312 28132 56264 112528 225056 499661 999322 1998644 3997288 6495593 7994576 12991186 15989152 25982372 51964744 103929488 207858976 270316601 540633202 1081266404 2162532808 3514115813 4325065616 7028231626 8650131232 14056463252 28112926504 56225853008 112451706016