Search a number
-
+
264440636541017 is a prime number
BaseRepresentation
bin111100001000000111100010…
…001101001000100001011001
31021200022021111122002211002022
4330020013202031020201121
5234130043410423303032
62334230203520144225
7106462130330261036
oct7410074215104131
91250267448084068
10264440636541017
117729370a413112
12257aa44a168075
13b472850177571
144942dd07a638d
152088a93d17512
hexf081e2348859

264440636541017 has 2 divisors, whose sum is σ = 264440636541018. Its totient is φ = 264440636541016.

The previous prime is 264440636540987. The next prime is 264440636541113. The reversal of 264440636541017 is 710145636044462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260285659823641 + 4154976717376 = 16133371^2 + 2038376^2 .

It is a cyclic number.

It is not a de Polignac number, because 264440636541017 - 226 = 264440569432153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 264440636541017.

It is not a weakly prime, because it can be changed into another prime (264440636541617) 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, 132220318270508 + 132220318270509.

It is an arithmetic number, because the mean of its divisors is an integer number (132220318270509).

Almost surely, 2264440636541017 is an apocalyptic number.

It is an amenable number.

264440636541017 is a deficient number, since it is larger than the sum of its proper divisors (1).

264440636541017 is an equidigital number, since it uses as much as digits as its factorization.

264440636541017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11612160, while the sum is 53.

The spelling of 264440636541017 in words is "two hundred sixty-four trillion, four hundred forty billion, six hundred thirty-six million, five hundred forty-one thousand, seventeen".