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112239790080 = 21135113747191
BaseRepresentation
bin110100010001000000…
…0110100100000000000
3101201201011222002202020
41220202000310200000
53314331341240310
6123321240121440
711052256321455
oct1504200644000
9351634862666
10112239790080
11436674875a0
1219904a66280
13a779550692
14560a85b82c
152dbda74170
hex1a22034800

112239790080 has 768 divisors, whose sum is σ = 413021306880. Its totient is φ = 25775308800.

The previous prime is 112239790073. The next prime is 112239790141. The reversal of 112239790080 is 80097932211.

It is a tau number, because it is divible by the number of its divisors (768).

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, 587642785 + ... + 587642975.

It is an arithmetic number, because the mean of its divisors is an integer number (537788160).

Almost surely, 2112239790080 is an apocalyptic number.

112239790080 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 112239790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206510653440).

112239790080 is an abundant number, since it is smaller than the sum of its proper divisors (300781516800).

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

112239790080 is a wasteful number, since it uses less digits than its factorization.

112239790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 112239790080 in words is "one hundred twelve billion, two hundred thirty-nine million, seven hundred ninety thousand, eighty".