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112299879744 = 263213132111353
BaseRepresentation
bin110100010010110011…
…0000010110101000000
3101201212101000222021100
41220211212002311000
53314442232122434
6123331224054400
711053616141133
oct1504546026500
9351771028240
10112299879744
1143698399878
1219921004400
13a788b2c3b0
14561482021a
152dc3e93699
hex1a25982d40

112299879744 has 168 divisors, whose sum is σ = 346940862632. Its totient is φ = 34524610560.

The previous prime is 112299879707. The next prime is 112299879751. The reversal of 112299879744 is 447978992211.

It can be written as a sum of positive squares in 4 ways, for example, as 12135225600 + 100164654144 = 110160^2 + 316488^2 .

It is a super-2 number, since 2×1122998797442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9885972 + ... + 9897324.

Almost surely, 2112299879744 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 112299879744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173470431316).

112299879744 is an abundant number, since it is smaller than the sum of its proper divisors (234640982888).

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

112299879744 is a wasteful number, since it uses less digits than its factorization.

112299879744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12692 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 112299879744 in words is "one hundred twelve billion, two hundred ninety-nine million, eight hundred seventy-nine thousand, seven hundred forty-four".