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115081080480 = 25345291272411
BaseRepresentation
bin110101100101101011…
…1011110111010100000
3102000001012100121110000
41223023113132322200
53341141224033410
6124511214540000
711212550021112
oct1531327367240
9360035317400
10115081080480
11448952a7083
121a378507600
13ab100a68c2
1457d9d4d3b2
152ed8217dc0
hex1acb5deea0

115081080480 has 480 divisors, whose sum is σ = 423629015040. Its totient is φ = 29384570880.

The previous prime is 115081080431. The next prime is 115081080493. The reversal of 115081080480 is 84080180511.

It is a happy number.

115081080480 is a `hidden beast` number, since 1 + 1 + 508 + 108 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 47730475 + ... + 47732885.

It is an arithmetic number, because the mean of its divisors is an integer number (882560448).

Almost surely, 2115081080480 is an apocalyptic number.

115081080480 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 115081080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211814507520).

115081080480 is an abundant number, since it is smaller than the sum of its proper divisors (308547934560).

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

115081080480 is a wasteful number, since it uses less digits than its factorization.

115081080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 115081080480 in words is "one hundred fifteen billion, eighty-one million, eighty thousand, four hundred eighty".