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113962957056 = 28321325412
BaseRepresentation
bin110101000100010111…
…0001011100100000000
3101220011021102001110100
41222020232023210000
53331344004111211
6124204233402400
711143052103054
oct1521056134400
9356137361410
10113962957056
1144371133433
121a105b69400
13a99254ba00
145731653c64
152e6eea2156
hex1a88b8b900

113962957056 has 243 divisors, whose sum is σ = 356462111187. Its totient is φ = 35000709120.

The previous prime is 113962957039. The next prime is 113962957063. The reversal of 113962957056 is 650759269311.

The square root of 113962957056 is 337584.

It is a perfect power (a square), and thus also a powerful number.

113962957056 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 62 + 9 + 570 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25625606400 + 88337350656 = 160080^2 + 297216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113962956993 and 113962957011.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210652146 + ... + 210652686.

Almost surely, 2113962957056 is an apocalyptic number.

113962957056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113962957056 is the 337584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113962957056

113962957056 is an abundant number, since it is smaller than the sum of its proper divisors (242499154131).

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

113962957056 is an frugal number, since it uses more digits than its factorization.

113962957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 559 counting only the distinct ones).

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

The spelling of 113962957056 in words is "one hundred thirteen billion, nine hundred sixty-two million, nine hundred fifty-seven thousand, fifty-six".