Search a number
-
+
204155521289729 is a prime number
BaseRepresentation
bin101110011010110110101001…
…010100110100111000000001
3222202212002002022001212000022
4232122312221110310320001
5203224341001422232404
62002111430212303225
761000515064423532
oct5632665124647001
9882762068055008
10204155521289729
115a060963498829
121aa9285b011b15
1389bba24492bb9
14385b273b10689
1518908487018be
hexb9ada9534e01

204155521289729 has 2 divisors, whose sum is σ = 204155521289730. Its totient is φ = 204155521289728.

The previous prime is 204155521289723. The next prime is 204155521289747. The reversal of 204155521289729 is 927982125551402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168068588872129 + 36086932417600 = 12964127^2 + 6007240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204155521289729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (204155521289723) 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, 102077760644864 + 102077760644865.

It is an arithmetic number, because the mean of its divisors is an integer number (102077760644865).

Almost surely, 2204155521289729 is an apocalyptic number.

It is an amenable number.

204155521289729 is a deficient number, since it is larger than the sum of its proper divisors (1).

204155521289729 is an equidigital number, since it uses as much as digits as its factorization.

204155521289729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288000, while the sum is 62.

The spelling of 204155521289729 in words is "two hundred four trillion, one hundred fifty-five billion, five hundred twenty-one million, two hundred eighty-nine thousand, seven hundred twenty-nine".