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112459703136 = 25311199775737
BaseRepresentation
bin110100010111100011…
…1101110001101100000
3101202021111202211202020
41220233013232031200
53320304141000021
6123355133421440
711060566463424
oct1505707561540
9352244684666
10112459703136
114376a630520
121996663a880
13a7b2c8a651
14562bb44b84
152dd30137c6
hex1a2f1ee360

112459703136 has 192 divisors, whose sum is σ = 339399486720. Its totient is φ = 32246415360.

The previous prime is 112459703131. The next prime is 112459703137. The reversal of 112459703136 is 631307954211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112459703131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19599660 + ... + 19605396.

It is an arithmetic number, because the mean of its divisors is an integer number (1767705660).

Almost surely, 2112459703136 is an apocalyptic number.

112459703136 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 112459703136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169699743360).

112459703136 is an abundant number, since it is smaller than the sum of its proper divisors (226939783584).

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

112459703136 is a wasteful number, since it uses less digits than its factorization.

112459703136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 112459703136 in words is "one hundred twelve billion, four hundred fifty-nine million, seven hundred three thousand, one hundred thirty-six".