Base | Representation |
---|---|
bin | 1100101110101001011… |
… | …0011111110000100000 |
3 | 202220110012020122022000 |
4 | 3023222112133300200 |
5 | 12040324103134332 |
6 | 244243230044000 |
7 | 21541045304100 |
oct | 3135226376040 |
9 | 686405218260 |
10 | 218680130592 |
11 | 84818261860 |
12 | 3646b649600 |
13 | 17810422ca1 |
14 | a826d93200 |
15 | 5a4d3c7b7c |
hex | 32ea59fc20 |
218680130592 has 1152 divisors, whose sum is σ = 843251834880. Its totient is φ = 54484254720.
The previous prime is 218680130531. The next prime is 218680130597. The reversal of 218680130592 is 295031086812.
218680130592 is a `hidden beast` number, since 2 + 186 + 80 + 1 + 305 + 92 = 666.
218680130592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (218680130597) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2123108013 + ... + 2123108115.
It is an arithmetic number, because the mean of its divisors is an integer number (731989440).
Almost surely, 2218680130592 is an apocalyptic number.
218680130592 is a gapful number since it is divisible by the number (22) 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 218680130592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421625917440).
218680130592 is an abundant number, since it is smaller than the sum of its proper divisors (624571704288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218680130592 is a wasteful number, since it uses less digits than its factorization.
218680130592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 291 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 45.
The spelling of 218680130592 in words is "two hundred eighteen billion, six hundred eighty million, one hundred thirty thousand, five hundred ninety-two".
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