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115299680256 = 21533194
BaseRepresentation
bin110101101100001100…
…1011000000000000000
3102000121102200121222000
41223120121120000000
53342113204232011
6124545024144000
711221143053205
oct1533031300000
9360542617860
10115299680256
1144997733352
121a419768000
13ab46473b97
14581adb3cac
152eec4e8356
hex1ad8658000

115299680256 has 320 divisors, whose sum is σ = 360602405400. Its totient is φ = 36410425344.

The previous prime is 115299680233. The next prime is 115299680267. The reversal of 115299680256 is 652086992511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

115299680256 is a `hidden beast` number, since 1 + 1 + 529 + 9 + 68 + 0 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 115299680256 = 6083 + 48643 = 27363 + 45603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6068404215 + ... + 6068404233.

Almost surely, 2115299680256 is an apocalyptic number.

115299680256 is a gapful number since it is divisible by the number (16) 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 115299680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180301202700).

115299680256 is an abundant number, since it is smaller than the sum of its proper divisors (245302725144).

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

115299680256 is an frugal number, since it uses more digits than its factorization.

115299680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

Multiplying 115299680256 by its sum of digits (54), we get a square (6226182733824 = 24952322).

115299680256 divided by its sum of digits (54) gives a square (2135179264 = 462082).

The spelling of 115299680256 in words is "one hundred fifteen billion, two hundred ninety-nine million, six hundred eighty thousand, two hundred fifty-six".