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115923480480 = 253653726861
BaseRepresentation
bin110101111110110010…
…0111110111110100000
3102002012220110222000000
41223331210332332200
53344402402333410
6125130550300000
711242456216563
oct1537544767640
9362186428000
10115923480480
1145187867725
121a572657600
13ac15783842
145879b944da
153037167dc0
hex1afd93efa0

115923480480 has 336 divisors, whose sum is σ = 421729424424. Its totient is φ = 30076323840.

The previous prime is 115923480473. The next prime is 115923480481. The reversal of 115923480480 is 84084329511.

115923480480 is a `hidden beast` number, since 1 + 1 + 5 + 92 + 3 + 4 + 80 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84590232336 + 31333248144 = 290844^2 + 177012^2 .

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

It is not an unprimeable number, because it can be changed into a prime (115923480481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4302250 + ... + 4329110.

Almost surely, 2115923480480 is an apocalyptic number.

115923480480 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 115923480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210864712212).

115923480480 is an abundant number, since it is smaller than the sum of its proper divisors (305805943944).

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

115923480480 is an equidigital number, since it uses as much as digits as its factorization.

115923480480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26931 (or 26908 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 115923480480 in words is "one hundred fifteen billion, nine hundred twenty-three million, four hundred eighty thousand, four hundred eighty".