Search a number
-
+
2164858967017 is a prime number
BaseRepresentation
bin11111100000001011101…
…001100101001111101001
321122221212202002002122101
4133200023221211033221
5240432112343421032
64334304504453401
7312256136413615
oct37401351451751
97587782062571
102164858967017
117651254a386a
122ab692a7a261
131291b73802b6
1476acb832345
153b4a6313de7
hex1f80ba653e9

2164858967017 has 2 divisors, whose sum is σ = 2164858967018. Its totient is φ = 2164858967016.

The previous prime is 2164858966973. The next prime is 2164858967071. The reversal of 2164858967017 is 7107698584612.

Together with next prime (2164858967071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1766743397721 + 398115569296 = 1329189^2 + 630964^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164858967017 - 223 = 2164850578409 is a prime.

It is a super-2 number, since 2×21648589670172 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2164858967017.

It is not a weakly prime, because it can be changed into another prime (2164858967317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082429483508 + 1082429483509.

It is an arithmetic number, because the mean of its divisors is an integer number (1082429483509).

Almost surely, 22164858967017 is an apocalyptic number.

It is an amenable number.

2164858967017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164858967017 is an equidigital number, since it uses as much as digits as its factorization.

2164858967017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 2164858967017 in words is "two trillion, one hundred sixty-four billion, eight hundred fifty-eight million, nine hundred sixty-seven thousand, seventeen".