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115979440896 = 28331121011373
BaseRepresentation
bin110110000000011101…
…0011101001100000000
3102002100210210001021000
41230000322131030000
53400011214102041
6125140305532000
711244035660514
oct1540072351400
9362323701230
10115979440896
1145206409600
121a589344000
13ac24247c07
1458833a0144
15303c01dbb6
hex1b00e9d300

115979440896 has 432 divisors, whose sum is σ = 380995140960. Its totient is φ = 34771968000.

The previous prime is 115979440879. The next prime is 115979440909. The reversal of 115979440896 is 698044979511.

115979440896 is a `hidden beast` number, since 1 + 1 + 59 + 7 + 94 + 408 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84470866 + ... + 84472238.

Almost surely, 2115979440896 is an apocalyptic number.

115979440896 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 115979440896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190497570480).

115979440896 is an abundant number, since it is smaller than the sum of its proper divisors (265015700064).

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

115979440896 is a wasteful number, since it uses less digits than its factorization.

115979440896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 115979440896 in words is "one hundred fifteen billion, nine hundred seventy-nine million, four hundred forty thousand, eight hundred ninety-six".