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112359415896 = 23337313432713
BaseRepresentation
bin110100010100100100…
…1001010000001011000
3101202000112001201112000
41220221021022001120
53320103002302041
6123341152121000
711055241164000
oct1505111120130
9352015051460
10112359415896
1143718a63202
1219938b36160
13a7982761a0
14561c6bb000
152dc9303bb6
hex1a2924a058

112359415896 has 512 divisors, whose sum is σ = 401237760000. Its totient is φ = 28933438464.

The previous prime is 112359415891. The next prime is 112359415943. The reversal of 112359415896 is 698514953211.

112359415896 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 59 + 4 + 1 + 589 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112359415891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41413836 + ... + 41416548.

It is an arithmetic number, because the mean of its divisors is an integer number (783667500).

Almost surely, 2112359415896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112359415896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200618880000).

112359415896 is an abundant number, since it is smaller than the sum of its proper divisors (288878344104).

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

112359415896 is a wasteful number, since it uses less digits than its factorization.

112359415896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2781 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 112359415896 in words is "one hundred twelve billion, three hundred fifty-nine million, four hundred fifteen thousand, eight hundred ninety-six".