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9333829813 = 7111075311273
BaseRepresentation
bin10001011000101011…
…01111000010110101
3220002111020200102111
420230111233002311
5123103430023223
64142104211021
7450205146550
oct105425570265
926074220374
109333829813
113a5a781540
121985a69a71
13b59994329
146478b3697
1539966e30d
hex22c56f0b5

9333829813 has 16 divisors (see below), whose sum is σ = 11639097216. Its totient is φ = 7271792640.

The previous prime is 9333829807. The next prime is 9333829861. The reversal of 9333829813 is 3189283339.

It is a happy number.

9333829813 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 9333829813 - 29 = 9333829301 is a prime.

It is a super-2 number, since 2×93338298132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9333829513) 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, 822345 + ... + 833617.

It is an arithmetic number, because the mean of its divisors is an integer number (727443576).

Almost surely, 29333829813 is an apocalyptic number.

It is an amenable number.

9333829813 is a deficient number, since it is larger than the sum of its proper divisors (2305267403).

9333829813 is a wasteful number, since it uses less digits than its factorization.

9333829813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22044.

The product of its digits is 839808, while the sum is 49.

The square root of 9333829813 is about 96611.7478001511. The cubic root of 9333829813 is about 2105.4905312248.

The spelling of 9333829813 in words is "nine billion, three hundred thirty-three million, eight hundred twenty-nine thousand, eight hundred thirteen".

Divisors: 1 7 11 77 10753 11273 75271 78911 118283 124003 827981 868021 121218569 848529983 1333404259 9333829813