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112432794487104 = 26371321511327599
BaseRepresentation
bin11001100100000111001100…
…110001101100100101000000
3112202002110200202120120002110
4121210013030301230211000
5104214044330342041404
61035042525052415320
732453000313462330
oct3144071461544500
9482073622516073
10112432794487104
1132908531409983
121073a28b477540
134a974a0485b00
141da9ac21c90c0
15cee97d20db89
hex6641ccc6c940

112432794487104 has 336 divisors, whose sum is σ = 368383757414400. Its totient is φ = 29632890193920.

The previous prime is 112432794487049. The next prime is 112432794487147. The reversal of 112432794487104 is 401784497234211.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1124327944871042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 343038697 + ... + 343366295.

It is an arithmetic number, because the mean of its divisors is an integer number (1096380230400).

Almost surely, 2112432794487104 is an apocalyptic number.

112432794487104 is a gapful number since it is divisible by the number (14) 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 112432794487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184191878707200).

112432794487104 is an abundant number, since it is smaller than the sum of its proper divisors (255950962927296).

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

112432794487104 is a wasteful number, since it uses less digits than its factorization.

112432794487104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329158 (or 329135 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 112432794487104 in words is "one hundred twelve trillion, four hundred thirty-two billion, seven hundred ninety-four million, four hundred eighty-seven thousand, one hundred four".