Search a number
-
+
16591406217917 is a prime number
BaseRepresentation
bin1111000101101111110011…
…0111111011101010111101
32011202010022121220111102112
43301123330313323222331
54133313144442433132
655141553051503405
73331455340642316
oct361337467735275
964663277814375
1016591406217917
115317415300323
121a3b638457b65
139347418a305b
14415057acd60d
151db8a955cab2
hexf16fcdfbabd

16591406217917 has 2 divisors, whose sum is σ = 16591406217918. Its totient is φ = 16591406217916.

The previous prime is 16591406217913. The next prime is 16591406217937. The reversal of 16591406217917 is 71971260419561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15753707180836 + 837699037081 = 3969094^2 + 915259^2 .

It is an emirp because it is prime and its reverse (71971260419561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16591406217917 - 22 = 16591406217913 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16591406217913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8295703108958 + 8295703108959.

It is an arithmetic number, because the mean of its divisors is an integer number (8295703108959).

Almost surely, 216591406217917 is an apocalyptic number.

It is an amenable number.

16591406217917 is a deficient number, since it is larger than the sum of its proper divisors (1).

16591406217917 is an equidigital number, since it uses as much as digits as its factorization.

16591406217917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 59.

The spelling of 16591406217917 in words is "sixteen trillion, five hundred ninety-one billion, four hundred six million, two hundred seventeen thousand, nine hundred seventeen".