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115964231040 = 2733572151907
BaseRepresentation
bin110110000000000000…
…0011011110110000000
3102002022202011022021000
41230000000123312000
53344443320343130
6125135003532000
711243462462100
oct1540000336600
9362282138230
10115964231040
11451a8870179
121a58422a000
13ac21050bb8
145881361200
15303aa17260
hex1b0001bd80

115964231040 has 768 divisors, whose sum is σ = 481455014400. Its totient is φ = 26301542400.

The previous prime is 115964230999. The next prime is 115964231101. The reversal of 115964231040 is 40132469511.

It is a happy number.

115964231040 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 642 + 3 + 1 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115964230986 and 115964231004.

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, 127854267 + ... + 127855173.

It is an arithmetic number, because the mean of its divisors is an integer number (626894550).

Almost surely, 2115964231040 is an apocalyptic number.

115964231040 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 115964231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240727507200).

115964231040 is an abundant number, since it is smaller than the sum of its proper divisors (365490783360).

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

115964231040 is a wasteful number, since it uses less digits than its factorization.

115964231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 115964231040 in words is "one hundred fifteen billion, nine hundred sixty-four million, two hundred thirty-one thousand, forty".