Search a number
-
+
393005891981 is a prime number
BaseRepresentation
bin1011011100000001111…
…10100000000110001101
31101120102020220212111002
411232000332200012031
522414334002020411
6500313332110045
740252023651353
oct5560076400615
91346366825432
10393005891981
1114174464253a
1264200a65325
132b0a26191a1
141504333b7d3
15a35289533b
hex5b80fa018d

393005891981 has 2 divisors, whose sum is σ = 393005891982. Its totient is φ = 393005891980.

The previous prime is 393005891959. The next prime is 393005892007. The reversal of 393005891981 is 189198500393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328024234756 + 64981657225 = 572734^2 + 254915^2 .

It is a cyclic number.

It is not a de Polignac number, because 393005891981 - 214 = 393005875597 is a prime.

It is a super-2 number, since 2×3930058919812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393005891921) 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, 196502945990 + 196502945991.

It is an arithmetic number, because the mean of its divisors is an integer number (196502945991).

Almost surely, 2393005891981 is an apocalyptic number.

It is an amenable number.

393005891981 is a deficient number, since it is larger than the sum of its proper divisors (1).

393005891981 is an equidigital number, since it uses as much as digits as its factorization.

393005891981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2099520, while the sum is 56.

The spelling of 393005891981 in words is "three hundred ninety-three billion, five million, eight hundred ninety-one thousand, nine hundred eighty-one".