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9995753349 = 33616069067
BaseRepresentation
bin10010100111100101…
…10001011110000101
3221210121202212211000
421103302301132011
5130432403101344
64331511403513
7502463334021
oct112362613605
927717685730
109995753349
11426a38448a
121b2b683599
13c33b6156a
146ab779381
153d781ea69
hex253cb1785

9995753349 has 16 divisors (see below), whose sum is σ = 15051288640. Its totient is φ = 6554591280.

The previous prime is 9995753281. The next prime is 9995753351. The reversal of 9995753349 is 9433575999.

9995753349 is a `hidden beast` number, since 9 + 9 + 9 + 57 + 533 + 49 = 666.

9995753349 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 9995753349 - 27 = 9995753221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995755349) 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, 3032887 + ... + 3036180.

It is an arithmetic number, because the mean of its divisors is an integer number (940705540).

Almost surely, 29995753349 is an apocalyptic number.

It is an amenable number.

9995753349 is a deficient number, since it is larger than the sum of its proper divisors (5055535291).

9995753349 is a wasteful number, since it uses less digits than its factorization.

9995753349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069137 (or 6069131 counting only the distinct ones).

The product of its digits is 41334300, while the sum is 63.

The square root of 9995753349 is about 99978.7644902656. The cubic root of 9995753349 is about 2154.1296757771.

The spelling of 9995753349 in words is "nine billion, nine hundred ninety-five million, seven hundred fifty-three thousand, three hundred forty-nine".

Divisors: 1 3 9 27 61 183 549 1647 6069067 18207201 54621603 163864809 370213087 1110639261 3331917783 9995753349