Search a number
-
+
266544435132097 is a prime number
BaseRepresentation
bin111100100110101110110110…
…010111110111011011000001
31021221202101202222022102122121
4330212232312113313123001
5234414031000343211342
62342520453441204241
7110100125403245143
oct7446566627673301
91257671688272577
10266544435132097
1177a24950918771
1225a8a120030681
13b5960561b13a5
1449b6b6899cc93
1520c367476d067
hexf26bb65f76c1

266544435132097 has 2 divisors, whose sum is σ = 266544435132098. Its totient is φ = 266544435132096.

The previous prime is 266544435132043. The next prime is 266544435132191. The reversal of 266544435132097 is 790231534445662.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164464106814736 + 102080328317361 = 12824356^2 + 10103481^2 .

It is a cyclic number.

It is not a de Polignac number, because 266544435132097 - 27 = 266544435131969 is a prime.

It is not a weakly prime, because it can be changed into another prime (266544435132797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 133272217566048 + 133272217566049.

It is an arithmetic number, because the mean of its divisors is an integer number (133272217566049).

Almost surely, 2266544435132097 is an apocalyptic number.

It is an amenable number.

266544435132097 is a deficient number, since it is larger than the sum of its proper divisors (1).

266544435132097 is an equidigital number, since it uses as much as digits as its factorization.

266544435132097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 130636800, while the sum is 61.

The spelling of 266544435132097 in words is "two hundred sixty-six trillion, five hundred forty-four billion, four hundred thirty-five million, one hundred thirty-two thousand, ninety-seven".