Search a number
-
+
172168647817 is a prime number
BaseRepresentation
bin1010000001011000001…
…1010001010010001001
3121110101201200111122211
42200112003101102021
510310100133212232
6211032043345121
715303333234355
oct2402603212211
9543351614584
10172168647817
116701a7933a1
122944ab221a1
131330a32c14a
148493ab2465
154729e22a47
hex28160d1489

172168647817 has 2 divisors, whose sum is σ = 172168647818. Its totient is φ = 172168647816.

The previous prime is 172168647779. The next prime is 172168647841. The reversal of 172168647817 is 718746861271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171577379961 + 591267856 = 414219^2 + 24316^2 .

It is a cyclic number.

It is not a de Polignac number, because 172168647817 - 223 = 172160259209 is a prime.

It is a super-2 number, since 2×1721686478172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (172168647017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86084323908 + 86084323909.

It is an arithmetic number, because the mean of its divisors is an integer number (86084323909).

Almost surely, 2172168647817 is an apocalyptic number.

It is an amenable number.

172168647817 is a deficient number, since it is larger than the sum of its proper divisors (1).

172168647817 is an equidigital number, since it uses as much as digits as its factorization.

172168647817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6322176, while the sum is 58.

The spelling of 172168647817 in words is "one hundred seventy-two billion, one hundred sixty-eight million, six hundred forty-seven thousand, eight hundred seventeen".