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115755816960 = 211345719937
BaseRepresentation
bin110101111001110010…
…1011001100000000000
3102001210012222202220000
41223303211121200000
53344031442120320
6125102200520000
711235352131630
oct1536345314000
9361705882800
10115755816960
1145101160633
121a526480000
13abb9b0bb64
1458617cc6c0
153027599c90
hex1af3959800

115755816960 has 480 divisors, whose sum is σ = 474200606880. Its totient is φ = 26457145344.

The previous prime is 115755816937. The next prime is 115755816983. The reversal of 115755816960 is 69618557511.

115755816960 is a `hidden beast` number, since 1 + 1 + 57 + 5 + 581 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115755816937) and next prime (115755816983).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 115755816897 and 115755816906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5796112 + ... + 5816048.

It is an arithmetic number, because the mean of its divisors is an integer number (987917931).

Almost surely, 2115755816960 is an apocalyptic number.

115755816960 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 115755816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237100303440).

115755816960 is an abundant number, since it is smaller than the sum of its proper divisors (358444789920).

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

115755816960 is an equidigital number, since it uses as much as digits as its factorization.

115755816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 115755816960 in words is "one hundred fifteen billion, seven hundred fifty-five million, eight hundred sixteen thousand, nine hundred sixty".