Search a number
-
+
67617244651141 is a prime number
BaseRepresentation
bin11110101111111010111011…
…10110010001111010000101
322212102010221001001121000201
433113331131312101322011
532330320104112314031
6355450533335010501
720146120233241543
oct1727753566217205
9285363831047021
1067617244651141
111a5aa348911649
127700812509a31
132b963817165b3
14129a9991b8d93
157c3d2e020d61
hex3d7f5dd91e85

67617244651141 has 2 divisors, whose sum is σ = 67617244651142. Its totient is φ = 67617244651140.

The previous prime is 67617244650983. The next prime is 67617244651163. The reversal of 67617244651141 is 14115644271676.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67388846683041 + 228397968100 = 8209071^2 + 477910^2 .

It is a cyclic number.

It is not a de Polignac number, because 67617244651141 - 227 = 67617110433413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67617244601141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33808622325570 + 33808622325571.

It is an arithmetic number, because the mean of its divisors is an integer number (33808622325571).

Almost surely, 267617244651141 is an apocalyptic number.

It is an amenable number.

67617244651141 is a deficient number, since it is larger than the sum of its proper divisors (1).

67617244651141 is an equidigital number, since it uses as much as digits as its factorization.

67617244651141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6773760, while the sum is 55.

The spelling of 67617244651141 in words is "sixty-seven trillion, six hundred seventeen billion, two hundred forty-four million, six hundred fifty-one thousand, one hundred forty-one".