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115884231120 = 24375794621
BaseRepresentation
bin110101111101100111…
…1010000100111010000
3102002010011121220000000
41223323033100213100
53344312330343440
6125123025130000
711241501466140
oct1537317204720
9362104556000
10115884231120
114516769a039
121a561489900
13ac0a5c0878
145874898920
1530339b3730
hex1afb3d09d0

115884231120 has 320 divisors, whose sum is σ = 461815918080. Its totient is φ = 26487544320.

The previous prime is 115884231103. The next prime is 115884231179. The reversal of 115884231120 is 21132488511.

It is a happy number.

115884231120 is a `hidden beast` number, since 1 + 1 + 588 + 42 + 3 + 11 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1177410 + ... + 1272030.

It is an arithmetic number, because the mean of its divisors is an integer number (1443174744).

Almost surely, 2115884231120 is an apocalyptic number.

115884231120 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 115884231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230907959040).

115884231120 is an abundant number, since it is smaller than the sum of its proper divisors (345931686960).

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

115884231120 is an frugal number, since it uses more digits than its factorization.

115884231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94662 (or 94638 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 115884231120 in words is "one hundred fifteen billion, eight hundred eighty-four million, two hundred thirty-one thousand, one hundred twenty".