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115115222880 = 25325737793907
BaseRepresentation
bin110101100110101100…
…1101110011101100000
3102000010120121020000100
41223031121232131200
53341223444113010
6124514434422400
711213443151460
oct1531531563540
9360116536010
10115115222880
11449025a6839
121a387a31a00
13ab1719c1c8
1458006b9ba0
152edb20e2c0
hex1acd66e760

115115222880 has 576 divisors, whose sum is σ = 467039139840. Its totient is φ = 25270382592.

The previous prime is 115115222809. The next prime is 115115222881. The reversal of 115115222880 is 88222511511.

115115222880 is a `hidden beast` number, since 1 + 1 + 51 + 1 + 522 + 2 + 8 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115115222881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29461887 + ... + 29465793.

It is an arithmetic number, because the mean of its divisors is an integer number (810831840).

Almost surely, 2115115222880 is an apocalyptic number.

115115222880 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 115115222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233519569920).

115115222880 is an abundant number, since it is smaller than the sum of its proper divisors (351923916960).

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

115115222880 is a wasteful number, since it uses less digits than its factorization.

115115222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 115115222880 in words is "one hundred fifteen billion, one hundred fifteen million, two hundred twenty-two thousand, eight hundred eighty".