Search a number
-
+
18465456481 is a prime number
BaseRepresentation
bin10001001100101000…
…001000000101100001
31202122220000101021121
4101030220020011201
5300304124101411
612252150452241
71222406535043
oct211450100541
952586011247
1018465456481
1179162a583a
1236b4064081
1319837ac614
14c7258da93
1573119b571
hex44ca08161

18465456481 has 2 divisors, whose sum is σ = 18465456482. Its totient is φ = 18465456480.

The previous prime is 18465456479. The next prime is 18465456511.

18465456481 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16869853456 + 1595603025 = 129884^2 + 39945^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 18465456481 - 21 = 18465456479 is a prime.

It is a super-2 number, since 2×184654564812 (a number of 21 digits) contains 22 as substring.

Together with 18465456479, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (18465456431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9232728240 + 9232728241.

It is an arithmetic number, because the mean of its divisors is an integer number (9232728241).

Almost surely, 218465456481 is an apocalyptic number.

It is an amenable number.

18465456481 is a deficient number, since it is larger than the sum of its proper divisors (1).

18465456481 is an equidigital number, since it uses as much as digits as its factorization.

18465456481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3686400, while the sum is 52.

The spelling of 18465456481 in words is "eighteen billion, four hundred sixty-five million, four hundred fifty-six thousand, four hundred eighty-one".