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115051453920 = 253451319127283
BaseRepresentation
bin110101100100110011…
…0011101110111100000
3101222222010121102110000
41223021212131313200
53341111133011140
6124504235540000
711212040136234
oct1531146356740
9358863542400
10115051453920
114487a601217
121a36a5ba600
13ab06c028b0
1457d603a5c4
152ed5814a30
hex1ac999dde0

115051453920 has 960 divisors, whose sum is σ = 465546977280. Its totient is φ = 26524495872.

The previous prime is 115051453883. The next prime is 115051453927. The reversal of 115051453920 is 29354150511.

It is a happy number.

115051453920 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 514 + 53 + 92 + 0 = 666.

115051453920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115051453927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 406542099 + ... + 406542381.

It is an arithmetic number, because the mean of its divisors is an integer number (484944768).

Almost surely, 2115051453920 is an apocalyptic number.

115051453920 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 115051453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232773488640).

115051453920 is an abundant number, since it is smaller than the sum of its proper divisors (350495523360).

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

115051453920 is a wasteful number, since it uses less digits than its factorization.

115051453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 115051453920 in words is "one hundred fifteen billion, fifty-one million, four hundred fifty-three thousand, nine hundred twenty".