Search a number
-
+
18509002279169 is a prime number
BaseRepresentation
bin1000011010101011101101…
…00000011000100100000001
32102112102222012012112101012
410031111312200120210001
54411222414040413134
6103210530202250305
73620142221346113
oct415256640304401
972472865175335
1018509002279169
115996695292296
1220ab2034b6995
13a43511c67c4c
1447dbaa43b3b3
152216dceb86ce
hex10d576818901

18509002279169 has 2 divisors, whose sum is σ = 18509002279170. Its totient is φ = 18509002279168.

The previous prime is 18509002279151. The next prime is 18509002279177. The reversal of 18509002279169 is 96197220090581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16755006650944 + 1753995628225 = 4093288^2 + 1324385^2 .

It is a cyclic number.

It is not a de Polignac number, because 18509002279169 - 220 = 18509001230593 is a prime.

It is a super-2 number, since 2×185090022791692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (18509002276169) 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, 9254501139584 + 9254501139585.

It is an arithmetic number, because the mean of its divisors is an integer number (9254501139585).

Almost surely, 218509002279169 is an apocalyptic number.

It is an amenable number.

18509002279169 is a deficient number, since it is larger than the sum of its proper divisors (1).

18509002279169 is an equidigital number, since it uses as much as digits as its factorization.

18509002279169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 59.

The spelling of 18509002279169 in words is "eighteen trillion, five hundred nine billion, two million, two hundred seventy-nine thousand, one hundred sixty-nine".