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18334185841 is a prime number
BaseRepresentation
bin10001000100110011…
…010111100101110001
31202022202000010211001
4101010303113211301
5300022022421331
612231141122001
71216224002566
oct210463274561
952282003731
1018334185841
117859196204
1236780b9301
13196253a69a
14c5cd7c86d
157248bb561
hex444cd7971

18334185841 has 2 divisors, whose sum is σ = 18334185842. Its totient is φ = 18334185840.

The previous prime is 18334185839. The next prime is 18334185967. The reversal of 18334185841 is 14858143381.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18169961616 + 164224225 = 134796^2 + 12815^2 .

It is a cyclic number.

It is not a de Polignac number, because 18334185841 - 21 = 18334185839 is a prime.

It is a super-2 number, since 2×183341858412 (a number of 21 digits) contains 22 as substring.

Together with 18334185839, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 18334185791 and 18334185800.

It is not a weakly prime, because it can be changed into another prime (18334185811) 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, 9167092920 + 9167092921.

It is an arithmetic number, because the mean of its divisors is an integer number (9167092921).

Almost surely, 218334185841 is an apocalyptic number.

It is an amenable number.

18334185841 is a deficient number, since it is larger than the sum of its proper divisors (1).

18334185841 is an equidigital number, since it uses as much as digits as its factorization.

18334185841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 368640, while the sum is 46.

The spelling of 18334185841 in words is "eighteen billion, three hundred thirty-four million, one hundred eighty-five thousand, eight hundred forty-one".