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65768305609801 is a prime number
BaseRepresentation
bin11101111010000111000000…
…11111100100110001001001
322121212101111022001112121101
432331003200133210301021
532110021442214003201
6351513313102341401
716565413631554624
oct1675034037446111
9277771438045541
1065768305609801
1119a571aaa38953
12746240858a861
132a90c03492c82
1412352bad74dbb
15790bb7d45d01
hex3bd0e07e4c49

65768305609801 has 2 divisors, whose sum is σ = 65768305609802. Its totient is φ = 65768305609800.

The previous prime is 65768305609763. The next prime is 65768305609861. The reversal of 65768305609801 is 10890650386756.

65768305609801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39328388425225 + 26439917184576 = 6271235^2 + 5141976^2 .

It is a cyclic number.

It is not a de Polignac number, because 65768305609801 - 239 = 65218549795913 is a prime.

It is not a weakly prime, because it can be changed into another prime (65768305609861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32884152804900 + 32884152804901.

It is an arithmetic number, because the mean of its divisors is an integer number (32884152804901).

Almost surely, 265768305609801 is an apocalyptic number.

It is an amenable number.

65768305609801 is a deficient number, since it is larger than the sum of its proper divisors (1).

65768305609801 is an equidigital number, since it uses as much as digits as its factorization.

65768305609801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65318400, while the sum is 64.

The spelling of 65768305609801 in words is "sixty-five trillion, seven hundred sixty-eight billion, three hundred five million, six hundred nine thousand, eight hundred one".