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18266217841 is a prime number
BaseRepresentation
bin10001000000110000…
…000101110101110001
31202011000010000020201
4101000300011311301
5244402122432331
612220312235201
71214440201264
oct210060056561
952130100221
1018266217841
117823892903
12365939bb01
131951430a31
14c53d28cdb
1571d942a61
hex440c05d71

18266217841 has 2 divisors, whose sum is σ = 18266217842. Its totient is φ = 18266217840.

The previous prime is 18266217833. The next prime is 18266217941. The reversal of 18266217841 is 14871266281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17616987441 + 649230400 = 132729^2 + 25480^2 .

It is an emirp because it is prime and its reverse (14871266281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18266217841 - 23 = 18266217833 is a prime.

It is a super-3 number, since 3×182662178413 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18266217791 and 18266217800.

It is not a weakly prime, because it can be changed into another prime (18266217941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9133108920 + 9133108921.

It is an arithmetic number, because the mean of its divisors is an integer number (9133108921).

Almost surely, 218266217841 is an apocalyptic number.

It is an amenable number.

18266217841 is a deficient number, since it is larger than the sum of its proper divisors (1).

18266217841 is an equidigital number, since it uses as much as digits as its factorization.

18266217841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 258048, while the sum is 46.

The spelling of 18266217841 in words is "eighteen billion, two hundred sixty-six million, two hundred seventeen thousand, eight hundred forty-one".