Search a number
-
+
115024250880 = 2113457111801
BaseRepresentation
bin110101100011111111…
…0101100100000000000
3101222220020102100220000
41223013332230200000
53341032202012010
6124501424520000
711211260000130
oct1530776544000
9358806370800
10115024250880
1144866211170
121a361480000
13ab01399a16
1457d2598ac0
152ed323e7c0
hex1ac7fac800

115024250880 has 960 divisors, whose sum is σ = 514300026240. Its totient is φ = 23887872000.

The previous prime is 115024250863. The next prime is 115024250903. The reversal of 115024250880 is 88052420511.

115024250880 is a `hidden beast` number, since 1 + 1 + 50 + 24 + 2 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63865980 + ... + 63867780.

It is an arithmetic number, because the mean of its divisors is an integer number (535729194).

Almost surely, 2115024250880 is an apocalyptic number.

115024250880 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 115024250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257150013120).

115024250880 is an abundant number, since it is smaller than the sum of its proper divisors (399275775360).

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

115024250880 is a wasteful number, since it uses less digits than its factorization.

115024250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 115024250880 in words is "one hundred fifteen billion, twenty-four million, two hundred fifty thousand, eight hundred eighty".