Base | Representation |
---|---|
bin | 1100101110101001110… |
… | …1110110101001000000 |
3 | 202220110022212122000200 |
4 | 3023222131312221000 |
5 | 12040330101344303 |
6 | 244243335245200 |
7 | 21541100556165 |
oct | 3135235665100 |
9 | 686408778020 |
10 | 218682059328 |
11 | 84819359957 |
12 | 36470219800 |
13 | 17810949b55 |
14 | a82733606c |
15 | 5a4d6593a3 |
hex | 32ea776a40 |
218682059328 has 42 divisors (see below), whose sum is σ = 626812640454. Its totient is φ = 72894019584.
The previous prime is 218682059327. The next prime is 218682059347. The reversal of 218682059328 is 823950286812.
It is a happy number.
218682059328 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 8 + 20 + 593 + 28 = 666.
218682059328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 211188040704 + 7494018624 = 459552^2 + 86568^2 .
It is a super-3 number, since 3×2186820593283 (a number of 35 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (218682059327) 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 5 ways as a sum of consecutive naturals, for example, 189827601 + ... + 189828752.
It is an arithmetic number, because the mean of its divisors is an integer number (14924110487).
Almost surely, 2218682059328 is an apocalyptic number.
It is an amenable number.
218682059328 is an abundant number, since it is smaller than the sum of its proper divisors (408130581126).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218682059328 is a wasteful number, since it uses less digits than its factorization.
218682059328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 379656371 (or 379656358 counting only the distinct ones).
The product of its (nonzero) digits is 3317760, while the sum is 54.
The spelling of 218682059328 in words is "two hundred eighteen billion, six hundred eighty-two million, fifty-nine thousand, three hundred twenty-eight".
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