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115883130816 = 2635234761113
BaseRepresentation
bin110101111101100101…
…1000011111111000000
3102002010002112222200000
41223323023003333000
53344312040141231
6125122545400000
711241456234225
oct1537313037700
9362102488600
10115883130816
11451670083a2
121a561039000
13ac0a2c6abb
14587468d94c
1530338476e6
hex1afb2c3fc0

115883130816 has 672 divisors, whose sum is σ = 376403908608. Its totient is φ = 35254517760.

The previous prime is 115883130787. The next prime is 115883130823. The reversal of 115883130816 is 618031388511.

115883130816 is a `hidden beast` number, since 1 + 1 + 588 + 31 + 30 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025514376 + ... + 1025514488.

It is an arithmetic number, because the mean of its divisors is an integer number (560124864).

Almost surely, 2115883130816 is an apocalyptic number.

115883130816 is a gapful number since it is divisible by the number (16) 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 115883130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188201954304).

115883130816 is an abundant number, since it is smaller than the sum of its proper divisors (260520777792).

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

115883130816 is a wasteful number, since it uses less digits than its factorization.

115883130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 115883130816 in words is "one hundred fifteen billion, eight hundred eighty-three million, one hundred thirty thousand, eight hundred sixteen".