Search a number
-
+
67014814817 is a prime number
BaseRepresentation
bin111110011010011001…
…001110110001100001
320101222101012022122102
4332122121032301201
52044221243033232
650441452020145
74561455345566
oct763231166141
9211871168572
1067014814817
112646a130285
1210ba3161655
13641cb4c3a2
14335a38886d
151b234e6662
hexf9a64ec61

67014814817 has 2 divisors, whose sum is σ = 67014814818. Its totient is φ = 67014814816.

The previous prime is 67014814739. The next prime is 67014814831. The reversal of 67014814817 is 71841841076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66851205136 + 163609681 = 258556^2 + 12791^2 .

It is a cyclic number.

It is not a de Polignac number, because 67014814817 - 28 = 67014814561 is a prime.

It is not a weakly prime, because it can be changed into another prime (67014814837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33507407408 + 33507407409.

It is an arithmetic number, because the mean of its divisors is an integer number (33507407409).

Almost surely, 267014814817 is an apocalyptic number.

It is an amenable number.

67014814817 is a deficient number, since it is larger than the sum of its proper divisors (1).

67014814817 is an equidigital number, since it uses as much as digits as its factorization.

67014814817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 301056, while the sum is 47.

The spelling of 67014814817 in words is "sixty-seven billion, fourteen million, eight hundred fourteen thousand, eight hundred seventeen".