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969828969 = 32294633049
BaseRepresentation
bin111001110011100…
…110101001101001
32111120220102020110
4321303212221221
53441234011334
6240122444533
733014260464
oct7163465151
92446812213
10969828969
1145849694a
12230963749
13125c053c5
1492b362db
155a221ae9
hex39ce6a69

969828969 has 16 divisors (see below), whose sum is σ = 1301984000. Its totient is φ = 642128256.

The previous prime is 969828949. The next prime is 969828997.

969828969 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 969828969 - 27 = 969828841 is a prime.

It is a super-2 number, since 2×9698289692 = 1881136458223205922, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (969828919) 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 15 ways as a sum of consecutive naturals, for example, 316557 + ... + 319605.

It is an arithmetic number, because the mean of its divisors is an integer number (81374000).

Almost surely, 2969828969 is an apocalyptic number.

It is an amenable number.

969828969 is a deficient number, since it is larger than the sum of its proper divisors (332155031).

969828969 is a wasteful number, since it uses less digits than its factorization.

969828969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744.

The product of its digits is 30233088, while the sum is 66.

The square root of 969828969 is about 31142.0771465232. The cubic root of 969828969 is about 989.8401160025.

The spelling of 969828969 in words is "nine hundred sixty-nine million, eight hundred twenty-eight thousand, nine hundred sixty-nine".

Divisors: 1 3 229 463 687 1389 3049 9147 106027 318081 698221 1411687 2094663 4235061 323276323 969828969