Search a number
-
+
115026912000 = 28335372111319
BaseRepresentation
bin110101100100000100…
…0110110001100000000
3101222220102102120021000
41223020020312030000
53341033342141000
6124502001532000
711211321422400
oct1531010661400
9358812376230
10115026912000
1144867769540
121a362344000
13ab01abc050
1457d2a8c800
152ed35b8000
hex1ac8236300

115026912000 has 3456 divisors, whose sum is σ = 610688332800. Its totient is φ = 20901888000.

The previous prime is 115026911977. The next prime is 115026912037. The reversal of 115026912000 is 219620511.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 383 ways as a sum of consecutive naturals, for example, 6054047991 + ... + 6054048009.

It is an arithmetic number, because the mean of its divisors is an integer number (176703800).

Almost surely, 2115026912000 is an apocalyptic number.

115026912000 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 115026912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305344166400).

115026912000 is an abundant number, since it is smaller than the sum of its proper divisors (495661420800).

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

115026912000 is a wasteful number, since it uses less digits than its factorization.

115026912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 115026912000 in words is "one hundred fifteen billion, twenty-six million, nine hundred twelve thousand".