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115099729920 = 2153557259
BaseRepresentation
bin110101100110001111…
…0101000000000000000
3102000002111110002200000
41223030132220000000
53341211012324140
6124513122400000
711213164363500
oct1531436500000
9360074402600
10115099729920
11448a488473a
121a382800000
13ab13c06386
1457dc605a00
152ed9b9da30
hex1acc7a8000

115099729920 has 1152 divisors, whose sum is σ = 489499264800. Its totient is φ = 25862602752.

The previous prime is 115099729919. The next prime is 115099729961. The reversal of 115099729920 is 29927990511.

115099729920 is a `hidden beast` number, since 1 + 1 + 509 + 97 + 29 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1950842851 + ... + 1950842909.

Almost surely, 2115099729920 is an apocalyptic number.

115099729920 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 115099729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244749632400).

115099729920 is an abundant number, since it is smaller than the sum of its proper divisors (374399534880).

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

115099729920 is an frugal number, since it uses more digits than its factorization.

115099729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 115099729920 in words is "one hundred fifteen billion, ninety-nine million, seven hundred twenty-nine thousand, nine hundred twenty".