Search a number
-
+
2663590067569 is a prime number
BaseRepresentation
bin100110110000101010010…
…101101111110101110001
3100102122012011122001002001
4212300222111233311301
5322120013024130234
65355345243054001
7363303150004054
oct46605225576561
910378164561061
102663590067569
11937693176332
1237027ab11301
13164238661ca2
1492cc030ca9b
154944584bd14
hex26c2a56fd71

2663590067569 has 2 divisors, whose sum is σ = 2663590067570. Its totient is φ = 2663590067568.

The previous prime is 2663590067521. The next prime is 2663590067573. The reversal of 2663590067569 is 9657600953662.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2496953030625 + 166637036944 = 1580175^2 + 408212^2 .

It is a cyclic number.

It is not a de Polignac number, because 2663590067569 - 29 = 2663590067057 is a prime.

It is a super-2 number, since 2×26635900675692 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2663590067569.

It is not a weakly prime, because it can be changed into another prime (2663590067069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1331795033784 + 1331795033785.

It is an arithmetic number, because the mean of its divisors is an integer number (1331795033785).

Almost surely, 22663590067569 is an apocalyptic number.

It is an amenable number.

2663590067569 is a deficient number, since it is larger than the sum of its proper divisors (1).

2663590067569 is an equidigital number, since it uses as much as digits as its factorization.

2663590067569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110224800, while the sum is 64.

The spelling of 2663590067569 in words is "two trillion, six hundred sixty-three billion, five hundred ninety million, sixty-seven thousand, five hundred sixty-nine".