Search a number
-
+
115912555200 = 26355213171971
BaseRepresentation
bin110101111110011101…
…1010011101011000000
3102002012010220220100000
41223330323103223000
53344342103231300
6125125520200000
711242264314501
oct1537473235300
9362163826300
10115912555200
1145181685372
121a56aa69000
13ac13429a90
14587854cba8
15303620ac00
hex1afced3ac0

115912555200 has 2016 divisors, whose sum is σ = 520031715840. Its totient is φ = 25082265600.

The previous prime is 115912555159. The next prime is 115912555211. The reversal of 115912555200 is 2555219511.

It is a happy number.

115912555200 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 125 + 5 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1632571165 + ... + 1632571235.

It is an arithmetic number, because the mean of its divisors is an integer number (257952240).

Almost surely, 2115912555200 is an apocalyptic number.

115912555200 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 115912555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260015857920).

115912555200 is an abundant number, since it is smaller than the sum of its proper divisors (404119160640).

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

115912555200 is a wasteful number, since it uses less digits than its factorization.

115912555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 115912555200 in words is "one hundred fifteen billion, nine hundred twelve million, five hundred fifty-five thousand, two hundred".