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112445746380 = 22325114111091249
BaseRepresentation
bin110100010111001001…
…0011110110011001100
3101202020112111202200100
41220232102132303030
53320242102341010
6123353514331100
711060340034242
oct1505622366314
9352215452610
10112445746380
1143762768610
1219961a29a90
13a7b0111b06
145629d50792
152dd1ba82c0
hex1a2e49eccc

112445746380 has 288 divisors, whose sum is σ = 381817800000. Its totient is φ = 26549452800.

The previous prime is 112445746379. The next prime is 112445746451. The reversal of 112445746380 is 83647544211.

112445746380 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 5 + 7 + 4 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 90027996 + ... + 90029244.

It is an arithmetic number, because the mean of its divisors is an integer number (1325756250).

Almost surely, 2112445746380 is an apocalyptic number.

112445746380 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 112445746380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190908900000).

112445746380 is an abundant number, since it is smaller than the sum of its proper divisors (269372053620).

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

112445746380 is a wasteful number, since it uses less digits than its factorization.

112445746380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 112445746380 in words is "one hundred twelve billion, four hundred forty-five million, seven hundred forty-six thousand, three hundred eighty".