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112536835488 = 25347211109739
BaseRepresentation
bin110100011001110110…
…1111101010110100000
3101202110212220120110000
41220303231331112200
53320433412213423
6123410530540000
711062524214200
oct1506355752640
9352425816400
10112536835488
11437aa123170
1219988437600
13a7c5c556ac
1456380a2400
152dd9b9c843
hex1a33b7d5a0

112536835488 has 720 divisors, whose sum is σ = 424430344800. Its totient is φ = 28922987520.

The previous prime is 112536835451. The next prime is 112536835511. The reversal of 112536835488 is 884538635211.

112536835488 is a `hidden beast` number, since 1 + 12 + 5 + 3 + 6 + 83 + 548 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152282223 + ... + 152282961.

It is an arithmetic number, because the mean of its divisors is an integer number (589486590).

Almost surely, 2112536835488 is an apocalyptic number.

112536835488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112536835488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212215172400).

112536835488 is an abundant number, since it is smaller than the sum of its proper divisors (311893509312).

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

112536835488 is a wasteful number, since it uses less digits than its factorization.

112536835488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 871 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 112536835488 in words is "one hundred twelve billion, five hundred thirty-six million, eight hundred thirty-five thousand, four hundred eighty-eight".