Search a number
-
+
9765824969 is a prime number
BaseRepresentation
bin10010001100001011…
…01010100111001001
3221012121010022101002
421012011222213021
5130000022344334
64253015304345
7464002066625
oct110605524711
927177108332
109765824969
11416160a92a
121a8667b0b5
13bc8328a74
14689006185
153c2552b7e
hex24616a9c9

9765824969 has 2 divisors, whose sum is σ = 9765824970. Its totient is φ = 9765824968.

The previous prime is 9765824911. The next prime is 9765824989. The reversal of 9765824969 is 9694285679.

9765824969 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6986953744 + 2778871225 = 83588^2 + 52715^2 .

It is a cyclic number.

It is not a de Polignac number, because 9765824969 - 28 = 9765824713 is a prime.

It is a super-2 number, since 2×97658249692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9765824989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4882912484 + 4882912485.

It is an arithmetic number, because the mean of its divisors is an integer number (4882912485).

Almost surely, 29765824969 is an apocalyptic number.

It is an amenable number.

9765824969 is a deficient number, since it is larger than the sum of its proper divisors (1).

9765824969 is an equidigital number, since it uses as much as digits as its factorization.

9765824969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58786560, while the sum is 65.

The square root of 9765824969 is about 98822.1886470847. The cubic root of 9765824969 is about 2137.4845227793.

The spelling of 9765824969 in words is "nine billion, seven hundred sixty-five million, eight hundred twenty-four thousand, nine hundred sixty-nine".