Search a number
-
+
115363452960 = 253557835107
BaseRepresentation
bin110101101110000110…
…0101001100000100000
3102000202212200121200000
41223130030221200200
53342231020443320
6124555223100000
711222546112360
oct1533414514040
9360685617600
10115363452960
1144a1a730768
121a436ba1600
13ab56742102
1458256549a0
153002de3c90
hex1adc329820

115363452960 has 576 divisors, whose sum is σ = 472294996992. Its totient is φ = 26045991936.

The previous prime is 115363452959. The next prime is 115363453063. The reversal of 115363452960 is 69254363511.

115363452960 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 63 + 4 + 529 + 60 = 666.

It is a super-3 number, since 3×1153634529603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 22586727 + ... + 22591833.

It is an arithmetic number, because the mean of its divisors is an integer number (819956592).

Almost surely, 2115363452960 is an apocalyptic number.

115363452960 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 115363452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236147498496).

115363452960 is an abundant number, since it is smaller than the sum of its proper divisors (356931544032).

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

115363452960 is an equidigital number, since it uses as much as digits as its factorization.

115363452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 115363452960 in words is "one hundred fifteen billion, three hundred sixty-three million, four hundred fifty-two thousand, nine hundred sixty".