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113859805248 = 2634711327767
BaseRepresentation
bin110101000001010010…
…0101100000001000000
3101212220002022101210000
41222002210230001000
53331141102231443
6124150110440000
711140360242660
oct1520244540100
9355802271700
10113859805248
1144318989a02
121a097503000
13a977073737
145721a821a0
152e65dc88d3
hex1a8292c040

113859805248 has 280 divisors, whose sum is σ = 389160300672. Its totient is φ = 32242323456.

The previous prime is 113859805243. The next prime is 113859805273. The reversal of 113859805248 is 842508958311.

113859805248 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 598 + 0 + 5 + 2 + 48 = 666.

It is a super-2 number, since 2×1138598052482 (a number of 23 digits) contains 22 as substring.

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 = 113859805194 and 113859805203.

It is not an unprimeable number, because it can be changed into a prime (113859805243) 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 39 ways as a sum of consecutive naturals, for example, 4086661 + ... + 4114427.

Almost surely, 2113859805248 is an apocalyptic number.

113859805248 is a gapful number since it is divisible by the number (18) 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 113859805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194580150336).

113859805248 is an abundant number, since it is smaller than the sum of its proper divisors (275300495424).

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

113859805248 is a wasteful number, since it uses less digits than its factorization.

113859805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27911 (or 27892 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 113859805248 in words is "one hundred thirteen billion, eight hundred fifty-nine million, eight hundred five thousand, two hundred forty-eight".