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115130504664 = 233275891069
BaseRepresentation
bin110101100111001010…
…0000001010111011000
3102000011122100121200100
41223032110001113120
53341241402122124
6124520142135400
711214020100000
oct1531624012730
9360148317610
10115130504664
114491019420a
121a390b81560
13ab1a3bcb96
145802737000
152edc72c1c9
hex1ace5015d8

115130504664 has 288 divisors, whose sum is σ = 368208828000. Its totient is φ = 32494404096.

The previous prime is 115130504597. The next prime is 115130504681. The reversal of 115130504664 is 466405031511.

115130504664 is a `hidden beast` number, since 1 + 15 + 130 + 50 + 466 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107698722 + ... + 107699790.

It is an arithmetic number, because the mean of its divisors is an integer number (1278502875).

Almost surely, 2115130504664 is an apocalyptic number.

115130504664 is a gapful number since it is divisible by the number (14) 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 115130504664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184104414000).

115130504664 is an abundant number, since it is smaller than the sum of its proper divisors (253078323336).

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

115130504664 is an equidigital number, since it uses as much as digits as its factorization.

115130504664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 115130504664 in words is "one hundred fifteen billion, one hundred thirty million, five hundred four thousand, six hundred sixty-four".