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112693880880 = 2434572311072
BaseRepresentation
bin110100011110100010…
…1000010100000110000
3101202212211102022020000
41220331011002200300
53321244113142010
6123434300550000
711066442116400
oct1507505024060
9352784368200
10112693880880
114387a837749
1219a10b52300
13a81c650369
145650ca2800
152de886e7c0
hex1a3d142830

112693880880 has 900 divisors, whose sum is σ = 474425759808. Its totient is φ = 24694709760.

The previous prime is 112693880869. The next prime is 112693880933. The reversal of 112693880880 is 88088396211.

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 179 ways as a sum of consecutive naturals, for example, 1053213787 + ... + 1053213893.

Almost surely, 2112693880880 is an apocalyptic number.

112693880880 is a gapful number since it is divisible by the number (10) 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 112693880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237212879904).

112693880880 is an abundant number, since it is smaller than the sum of its proper divisors (361731878928).

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

112693880880 is a wasteful number, since it uses less digits than its factorization.

112693880880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 112693880880 in words is "one hundred twelve billion, six hundred ninety-three million, eight hundred eighty thousand, eight hundred eighty".