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112406369376 = 253719137179359
BaseRepresentation
bin110100010101111110…
…0010001010001100000
3101202010210102012120210
41220223330101101200
53320202012310001
6123345550334120
711056351242420
oct1505374212140
9352123365523
10112406369376
1143742513034
12199507ba340
13a7a4c05a02
145624a20480
152dcd4cadd6
hex1a2bf11460

112406369376 has 384 divisors, whose sum is σ = 360557568000. Its totient is φ = 29951299584.

The previous prime is 112406369293. The next prime is 112406369377. The reversal of 112406369376 is 673963604211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112406369377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313109485 + ... + 313109843.

It is an arithmetic number, because the mean of its divisors is an integer number (938952000).

Almost surely, 2112406369376 is an apocalyptic number.

112406369376 is a gapful number since it is divisible by the number (16) 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 112406369376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278784000).

112406369376 is an abundant number, since it is smaller than the sum of its proper divisors (248151198624).

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

112406369376 is a wasteful number, since it uses less digits than its factorization.

112406369376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 112406369376 in words is "one hundred twelve billion, four hundred six million, three hundred sixty-nine thousand, three hundred seventy-six".