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113962557960 = 233751776631
BaseRepresentation
bin110101000100010110…
…0101010001000001000
3101220011020122210000000
41222020230222020020
53331343403323320
6124204221043000
711143045521366
oct1521054521010
9356136583000
10113962557960
11443709905a9
121a1059b6460
13a99243c164
14573158c636
152e6ee23c90
hex1a88b2a208

113962557960 has 256 divisors, whose sum is σ = 407191795200. Its totient is φ = 28601994240.

The previous prime is 113962557959. The next prime is 113962558001. The reversal of 113962557960 is 69755269311.

113962557960 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 6 + 2 + 5 + 579 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 113962557897 and 113962557906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1448845 + ... + 1525475.

It is an arithmetic number, because the mean of its divisors is an integer number (1590592950).

Almost surely, 2113962557960 is an apocalyptic number.

113962557960 is a gapful number since it is divisible by the number (10) 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 113962557960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203595897600).

113962557960 is an abundant number, since it is smaller than the sum of its proper divisors (293229237240).

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

113962557960 is an equidigital number, since it uses as much as digits as its factorization.

113962557960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76680 (or 76658 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 113962557960 in words is "one hundred thirteen billion, nine hundred sixty-two million, five hundred fifty-seven thousand, nine hundred sixty".