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218664224857 = 1324131557833
BaseRepresentation
bin1100101110100101100…
…1110100100001011001
3202220102002022112201201
43023221121310201121
512040311020143412
6244241501114201
721540463146511
oct3135131644131
9686362275651
10218664224857
118480a288621
1236466258961
131780a044300
14a824c12841
155a4bcd4e57
hex32e9674859

218664224857 has 12 divisors (see below), whose sum is σ = 242553512124. Its totient is φ = 196920871680.

The previous prime is 218664224699. The next prime is 218664224879. The reversal of 218664224857 is 758422466812.

It is a happy number.

218664224857 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 6 ways, for example, as 65022960016 + 153641264841 = 254996^2 + 391971^2 .

It is not a de Polignac number, because 218664224857 - 223 = 218655836249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218664224798 and 218664224807.

It is not an unprimeable number, because it can be changed into a prime (218664224257) 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 11 ways as a sum of consecutive naturals, for example, 15771988 + ... + 15785845.

It is an arithmetic number, because the mean of its divisors is an integer number (20212792677).

Almost surely, 2218664224857 is an apocalyptic number.

It is an amenable number.

218664224857 is a deficient number, since it is larger than the sum of its proper divisors (23889287267).

218664224857 is a wasteful number, since it uses less digits than its factorization.

218664224857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31557900 (or 31557887 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 55.

The spelling of 218664224857 in words is "two hundred eighteen billion, six hundred sixty-four million, two hundred twenty-four thousand, eight hundred fifty-seven".

Divisors: 1 13 41 169 533 6929 31557833 410251829 1293871153 5333273777 16820324989 218664224857