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112423137408 = 27371923919
BaseRepresentation
bin110100010110011110…
…0001111000010000000
3101202011221222010000000
41220230330033002000
53320220310344113
6123351350000000
711056643621001
oct1505474170200
9352157863000
10112423137408
1143750a2610a
1219956346000
13a7a852701a
145626d471a8
152dcebde373
hex1a2cf0f080

112423137408 has 512 divisors, whose sum is σ = 369354240000. Its totient is φ = 33921524736.

The previous prime is 112423137383. The next prime is 112423137499. The reversal of 112423137408 is 804731324211.

112423137408 is a `hidden beast` number, since 1 + 1 + 242 + 3 + 1 + 3 + 7 + 408 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122331573 + ... + 122332491.

It is an arithmetic number, because the mean of its divisors is an integer number (721395000).

Almost surely, 2112423137408 is an apocalyptic number.

112423137408 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 112423137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184677120000).

112423137408 is an abundant number, since it is smaller than the sum of its proper divisors (256931102592).

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

112423137408 is an frugal number, since it uses more digits than its factorization.

112423137408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 112423137408 in words is "one hundred twelve billion, four hundred twenty-three million, one hundred thirty-seven thousand, four hundred eight".