Search a number
-
+
9764008969 = 1121326912
BaseRepresentation
bin10010001011111101…
…01111010000001001
3221012110201001021211
421011332233100021
5124444041241334
64252512333121
7463650464311
oct110576572011
927173631254
109764008969
11416058a500
121a85b441a1
13bc7b41300
14688a92441
153c22e4a64
hex245faf409

9764008969 has 27 divisors (see below), whose sum is σ = 11638252647. Its totient is φ = 8181716400.

The previous prime is 9764008951. The next prime is 9764008999. The reversal of 9764008969 is 9698004679.

The square root of 9764008969 is 98813.

It is a perfect power (a square), and thus also a powerful number.

9764008969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1444380025 + 8319628944 = 38005^2 + 91212^2 .

It is not a de Polignac number, because 9764008969 - 27 = 9764008841 is a prime.

It is a super-2 number, since 2×97640089692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9764008999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14129914 + ... + 14130604.

Almost surely, 29764008969 is an apocalyptic number.

9764008969 is the 98813-rd square number.

9764008969 is the 49407-th centered octagonal number.

It is an amenable number.

9764008969 is a deficient number, since it is larger than the sum of its proper divisors (1874243678).

9764008969 is an equidigital number, since it uses as much as digits as its factorization.

9764008969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The cubic root of 9764008969 is about 2137.3520228784.

The spelling of 9764008969 in words is "nine billion, seven hundred sixty-four million, eight thousand, nine hundred sixty-nine".

Divisors: 1 11 13 121 143 169 691 1573 1859 7601 8983 20449 83611 98813 116779 477481 1086943 1284569 5252291 6207253 14130259 57775201 68279783 80694289 751077613 887637179 9764008969