Search a number
-
+
6728592769 is a prime number
BaseRepresentation
bin1100100010000111…
…00010110110000001
3122100221000221001121
412101003202312001
5102240004432034
63031401032241
7325512044353
oct62103426601
918327027047
106728592769
11294312a378
121379485681
13833009752
1447b8ab0d3
15295aa71b4
hex1910e2d81

6728592769 has 2 divisors, whose sum is σ = 6728592770. Its totient is φ = 6728592768.

The previous prime is 6728592727. The next prime is 6728592817. The reversal of 6728592769 is 9672958276.

6728592769 is digitally balanced in base 3, 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., 5089395600 + 1639197169 = 71340^2 + 40487^2 .

It is a cyclic number.

It is not a de Polignac number, because 6728592769 - 29 = 6728592257 is a prime.

It is a super-2 number, since 2×67285927692 = 90547921302078174722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6728592869) 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, 3364296384 + 3364296385.

It is an arithmetic number, because the mean of its divisors is an integer number (3364296385).

Almost surely, 26728592769 is an apocalyptic number.

It is an amenable number.

6728592769 is a deficient number, since it is larger than the sum of its proper divisors (1).

6728592769 is an equidigital number, since it uses as much as digits as its factorization.

6728592769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22861440, while the sum is 61.

The square root of 6728592769 is about 82027.9999085678. Note that the first 4 decimals coincide. The cubic root of 6728592769 is about 1887.8815760228.

The spelling of 6728592769 in words is "six billion, seven hundred twenty-eight million, five hundred ninety-two thousand, seven hundred sixty-nine".