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112150998432 = 2532111929471367
BaseRepresentation
bin110100001110010111…
…0000110110110100000
3101201110222220000111200
41220130232012312200
53314141123422212
6123304345041200
711050130520624
oct1503456066640
9351428800450
10112150998432
1143621351070
121989b186200
13a764032745
1455dcb47184
152db5d856dc
hex1a1cb86da0

112150998432 has 576 divisors, whose sum is σ = 387207475200. Its totient is φ = 30402570240.

The previous prime is 112150998419. The next prime is 112150998439. The reversal of 112150998432 is 234899051211.

112150998432 is a `hidden beast` number, since 1 + 1 + 21 + 509 + 98 + 4 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (112150998439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82041013 + ... + 82042379.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 2112150998432 is an apocalyptic number.

112150998432 is a gapful number since it is divisible by the number (12) 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 112150998432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193603737600).

112150998432 is an abundant number, since it is smaller than the sum of its proper divisors (275056476768).

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

112150998432 is a wasteful number, since it uses less digits than its factorization.

112150998432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 112150998432 in words is "one hundred twelve billion, one hundred fifty million, nine hundred ninety-eight thousand, four hundred thirty-two".