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117523228680 = 2332511132672621
BaseRepresentation
bin110110101110011101…
…1100010100000001000
3102020100101200120222100
41231130323202200020
53411141421304210
6125553414353400
711330222650524
oct1553473424010
9366311616870
10117523228680
1145928887180
121a93a35b860
13b10c02bb00
14598c420d84
1530cc8175c0
hex1b5cee2808

117523228680 has 576 divisors, whose sum is σ = 458099478720. Its totient is φ = 25896499200.

The previous prime is 117523228679. The next prime is 117523228699. The reversal of 117523228680 is 86822325711.

117523228680 is a `hidden beast` number, since 1 + 175 + 2 + 322 + 86 + 80 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 44837770 + ... + 44840390.

It is an arithmetic number, because the mean of its divisors is an integer number (795311595).

Almost surely, 2117523228680 is an apocalyptic number.

117523228680 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 117523228680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229049739360).

117523228680 is an abundant number, since it is smaller than the sum of its proper divisors (340576250040).

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

117523228680 is a wasteful number, since it uses less digits than its factorization.

117523228680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 117523228680 in words is "one hundred seventeen billion, five hundred twenty-three million, two hundred twenty-eight thousand, six hundred eighty".