Search a number
-
+
728289322217 is a prime number
BaseRepresentation
bin10101001100100010110…
…11010010010011101001
32120121211201211212100122
422212101123102103221
543413014031302332
61314323235413025
7103421455045412
oct12462133222351
92517751755318
10728289322217
11260958377136
12b9192754175
13538a62b7562
142736c488809
1513e2791dc12
hexa9916d24e9

728289322217 has 2 divisors, whose sum is σ = 728289322218. Its totient is φ = 728289322216.

The previous prime is 728289322127. The next prime is 728289322283. The reversal of 728289322217 is 712223982827.

Together with previous prime (728289322127) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443497393936 + 284791928281 = 665956^2 + 533659^2 .

It is a cyclic number.

It is not a de Polignac number, because 728289322217 - 28 = 728289321961 is a prime.

It is not a weakly prime, because it can be changed into another prime (728289322417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364144661108 + 364144661109.

It is an arithmetic number, because the mean of its divisors is an integer number (364144661109).

Almost surely, 2728289322217 is an apocalyptic number.

It is an amenable number.

728289322217 is a deficient number, since it is larger than the sum of its proper divisors (1).

728289322217 is an equidigital number, since it uses as much as digits as its factorization.

728289322217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2709504, while the sum is 53.

The spelling of 728289322217 in words is "seven hundred twenty-eight billion, two hundred eighty-nine million, three hundred twenty-two thousand, two hundred seventeen".