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9509955361 = 11328632
BaseRepresentation
bin10001101101101011…
…00110011100100001
3220112202122210020221
420312311212130201
5123434022032421
64211355203041
7454444200244
oct106665463441
926482583227
109509955361
114040138245
121a14a46481
13b8730c82a
1466303d25b
153a9d5e841
hex236d66721

9509955361 has 9 divisors (see below), whose sum is σ = 9605989939. Its totient is φ = 9414874336.

The previous prime is 9509955311. The next prime is 9509955391. The reversal of 9509955361 is 1635599059.

The square root of 9509955361 is 97519.

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

9509955361 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., 167573025 + 9342382336 = 12945^2 + 96656^2 .

It is not a de Polignac number, because 9509955361 - 29 = 9509954849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9509955299 and 9509955308.

It is not an unprimeable number, because it can be changed into a prime (9509955311) 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 8 ways as a sum of consecutive naturals, for example, 11019216 + ... + 11020078.

Almost surely, 29509955361 is an apocalyptic number.

9509955361 is the 97519-th square number.

9509955361 is the 48760-th centered octagonal number.

It is an amenable number.

9509955361 is a deficient number, since it is larger than the sum of its proper divisors (96034578).

9509955361 is an frugal number, since it uses more digits than its factorization.

9509955361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1640250, while the sum is 52.

The cubic root of 9509955361 is about 2118.6513435544.

The spelling of 9509955361 in words is "nine billion, five hundred nine million, nine hundred fifty-five thousand, three hundred sixty-one".

Divisors: 1 113 863 12769 97519 744769 11019647 84158897 9509955361