Search a number
-
+
6468882757 is a prime number
BaseRepresentation
bin1100000011001001…
…10101000101000101
3121200211100021220021
412001210311011011
5101222013222012
62545522335141
7316206411331
oct60144650505
917624307807
106468882757
11281a5743a7
1213064ba4b1
137c127749c
144551c47c1
1527cda6007
hex181935145

6468882757 has 2 divisors, whose sum is σ = 6468882758. Its totient is φ = 6468882756.

The previous prime is 6468882751. The next prime is 6468882773. The reversal of 6468882757 is 7572888646.

6468882757 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., 6138879201 + 330003556 = 78351^2 + 18166^2 .

It is a cyclic number.

It is not a de Polignac number, because 6468882757 - 219 = 6468358469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6468882695 and 6468882704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6468882751) 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, 3234441378 + 3234441379.

It is an arithmetic number, because the mean of its divisors is an integer number (3234441379).

Almost surely, 26468882757 is an apocalyptic number.

It is an amenable number.

6468882757 is a deficient number, since it is larger than the sum of its proper divisors (1).

6468882757 is an equidigital number, since it uses as much as digits as its factorization.

6468882757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36126720, while the sum is 61.

The square root of 6468882757 is about 80429.3650167649. The cubic root of 6468882757 is about 1863.2727247935.

The spelling of 6468882757 in words is "six billion, four hundred sixty-eight million, eight hundred eighty-two thousand, seven hundred fifty-seven".