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112868538048 = 2633722295821
BaseRepresentation
bin110100100011101111…
…1010011011011000000
3101210100000001210211000
41221013133103123000
53322123321204143
6123503500252000
711103662513100
oct1510737233300
9353300053730
10112868538048
114395a390212
1219a5b541000
13a8498a33b6
14566a169200
152e08d6ebd3
hex1a477d36c0

112868538048 has 336 divisors, whose sum is σ = 387738213600. Its totient is φ = 32101816320.

The previous prime is 112868537981. The next prime is 112868538067. The reversal of 112868538048 is 840835868211.

112868538048 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 68 + 538 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 112868537985 and 112868538003.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19386978 + ... + 19392798.

Almost surely, 2112868538048 is an apocalyptic number.

112868538048 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 112868538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869106800).

112868538048 is an abundant number, since it is smaller than the sum of its proper divisors (274869675552).

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

112868538048 is a wasteful number, since it uses less digits than its factorization.

112868538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6085 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 112868538048 in words is "one hundred twelve billion, eight hundred sixty-eight million, five hundred thirty-eight thousand, forty-eight".