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113995579392 = 21534291481
BaseRepresentation
bin110101000101010101…
…0101000000000000000
3101220020112210102220000
41222022222220000000
53331430332020032
6124211400520000
711143626302652
oct1521252500000
9356215712800
10113995579392
1144388595042
121a114a80000
13a999231476
145735b066d2
152e72c97e7c
hex1a8aaa8000

113995579392 has 320 divisors, whose sum is σ = 352556018100. Its totient is φ = 36663459840.

The previous prime is 113995579391. The next prime is 113995579433. The reversal of 113995579392 is 293975599311.

113995579392 is a `hidden beast` number, since 11 + 39 + 9 + 557 + 9 + 39 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113930551296 + 65028096 = 337536^2 + 8064^2 .

It is not an unprimeable number, because it can be changed into a prime (113995579391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76971292 + ... + 76972772.

Almost surely, 2113995579392 is an apocalyptic number.

113995579392 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 113995579392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176278009050).

113995579392 is an abundant number, since it is smaller than the sum of its proper divisors (238560438708).

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

113995579392 is an frugal number, since it uses more digits than its factorization.

113995579392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1515 counting only the distinct ones).

The product of its digits is 20667150, while the sum is 63.

The spelling of 113995579392 in words is "one hundred thirteen billion, nine hundred ninety-five million, five hundred seventy-nine thousand, three hundred ninety-two".