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113542347744 = 25327172533677
BaseRepresentation
bin110100110111110100…
…1101011101111100000
3101212001221221212221200
41221233221223233200
53330013320111434
6124054410321200
711126454013620
oct1515751535740
9355057855850
10113542347744
1144175771431
121a009129200
13a926372867
1456d1846880
152e480bc199
hex1a6fa6bbe0

113542347744 has 432 divisors, whose sum is σ = 399500887968. Its totient is φ = 29948166144.

The previous prime is 113542347739. The next prime is 113542347781. The reversal of 113542347744 is 447743245311.

113542347744 is a `hidden beast` number, since 1 + 1 + 3 + 542 + 34 + 7 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113542347744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30877234 + ... + 30880910.

It is an arithmetic number, because the mean of its divisors is an integer number (924770574).

Almost surely, 2113542347744 is an apocalyptic number.

113542347744 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 113542347744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199750443984).

113542347744 is an abundant number, since it is smaller than the sum of its proper divisors (285958540224).

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

113542347744 is a wasteful number, since it uses less digits than its factorization.

113542347744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3759 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 113542347744 in words is "one hundred thirteen billion, five hundred forty-two million, three hundred forty-seven thousand, seven hundred forty-four".