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9690330969 = 331137223833
BaseRepresentation
bin10010000011001011…
…01011011101011001
3221000100001211002000
421001211223131121
5124321211042334
64241321231213
7462064311534
oct110145533531
927010054060
109690330969
114122a370a0
121a65332509
13bb57b5667
1467cd93a1b
153baade299
hex24196b759

9690330969 has 48 divisors (see below), whose sum is σ = 16096530240. Its totient is φ = 5713960320.

The previous prime is 9690330967. The next prime is 9690330989.

9690330969 is nontrivially palindromic in base 10.

9690330969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9690330969 - 21 = 9690330967 is a prime.

It is a super-2 number, since 2×96903309692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9690330967) 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 47 ways as a sum of consecutive naturals, for example, 394677 + ... + 418509.

It is an arithmetic number, because the mean of its divisors is an integer number (335344380).

Almost surely, 29690330969 is an apocalyptic number.

9690330969 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9690330969 is a deficient number, since it is larger than the sum of its proper divisors (6406199271).

9690330969 is a wasteful number, since it uses less digits than its factorization.

9690330969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23927 (or 23884 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The square root of 9690330969 is about 98439.4787115413. The cubic root of 9690330969 is about 2131.9623791567.

The spelling of 9690330969 in words is "nine billion, six hundred ninety million, three hundred thirty thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 1369 3663 4107 10989 12321 15059 23833 36963 45177 71499 135531 214497 262163 406593 643491 786489 881821 2359467 2645463 7078401 7936389 9700031 23809167 29100093 32627377 87300279 97882131 261900837 293646393 358901147 880939179 1076703441 3230110323 9690330969