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218943361717 is a prime number
BaseRepresentation
bin1100101111101000001…
…0101001001010110101
3202221010112120011111221
43023322002221022311
512041344000033332
6244325312030341
721550422603553
oct3137202511265
9687115504457
10218943361717
1184942902243
12365238323b1
1317852b18b52
14a84dd14bd3
155a66572297
hex32fa0a92b5

218943361717 has 2 divisors, whose sum is σ = 218943361718. Its totient is φ = 218943361716.

The previous prime is 218943361687. The next prime is 218943361729. The reversal of 218943361717 is 717163349812.

It is a happy number.

218943361717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211122789361 + 7820572356 = 459481^2 + 88434^2 .

It is a cyclic number.

It is not a de Polignac number, because 218943361717 - 223 = 218934973109 is a prime.

It is a super-2 number, since 2×2189433617172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218943391717) 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 as a sum of consecutive naturals, namely, 109471680858 + 109471680859.

It is an arithmetic number, because the mean of its divisors is an integer number (109471680859).

Almost surely, 2218943361717 is an apocalyptic number.

It is an amenable number.

218943361717 is a deficient number, since it is larger than the sum of its proper divisors (1).

218943361717 is an equidigital number, since it uses as much as digits as its factorization.

218943361717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1524096, while the sum is 52.

The spelling of 218943361717 in words is "two hundred eighteen billion, nine hundred forty-three million, three hundred sixty-one thousand, seven hundred seventeen".