Search a number
-
+
115059474432 = 21433773509
BaseRepresentation
bin110101100101000010…
…1000100000000000000
3101222222200200220112000
41223022011010000000
53341120211140212
6124505123504000
711212165252530
oct1531205040000
9358880626460
10115059474432
114488408a141
121a371228000
13ab08780466
1457d71274c0
152ed639b1dc
hex1aca144000

115059474432 has 480 divisors, whose sum is σ = 395720505600. Its totient is φ = 32360103936.

The previous prime is 115059474427. The next prime is 115059474449. The reversal of 115059474432 is 234474950511.

115059474432 is a `hidden beast` number, since 1 + 1 + 50 + 594 + 7 + 4 + 4 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226049794 + ... + 226050302.

It is an arithmetic number, because the mean of its divisors is an integer number (824417720).

Almost surely, 2115059474432 is an apocalyptic number.

115059474432 is a gapful number since it is divisible by the number (12) 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 115059474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197860252800).

115059474432 is an abundant number, since it is smaller than the sum of its proper divisors (280661031168).

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

115059474432 is an frugal number, since it uses more digits than its factorization.

115059474432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 115059474432 in words is "one hundred fifteen billion, fifty-nine million, four hundred seventy-four thousand, four hundred thirty-two".