Search a number
-
+
18540818369 is a prime number
BaseRepresentation
bin10001010001000111…
…100110111111000001
31202212010211011100122
4101101013212333001
5300432422141434
612303442030025
71224313233023
oct212107467701
952763734318
1018540818369
117954899297
123715348315
1319962a7858
14c7c5aa013
15737ad5c2e
hex4511e6fc1

18540818369 has 2 divisors, whose sum is σ = 18540818370. Its totient is φ = 18540818368.

The previous prime is 18540818353. The next prime is 18540818371. The reversal of 18540818369 is 96381804581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15610003600 + 2930814769 = 124940^2 + 54137^2 .

It is a cyclic number.

It is not a de Polignac number, because 18540818369 - 24 = 18540818353 is a prime.

It is a super-2 number, since 2×185408183692 (a number of 21 digits) contains 22 as substring.

Together with 18540818371, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18540818369.

It is not a weakly prime, because it can be changed into another prime (18540818669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9270409184 + 9270409185.

It is an arithmetic number, because the mean of its divisors is an integer number (9270409185).

Almost surely, 218540818369 is an apocalyptic number.

It is an amenable number.

18540818369 is a deficient number, since it is larger than the sum of its proper divisors (1).

18540818369 is an equidigital number, since it uses as much as digits as its factorization.

18540818369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 53.

The spelling of 18540818369 in words is "eighteen billion, five hundred forty million, eight hundred eighteen thousand, three hundred sixty-nine".