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9298166329 = 21124572
BaseRepresentation
bin10001010100011011…
…01100001000111001
3220000000010210022201
420222031230020321
5123020312310304
64134351550201
7446263052434
oct105215541071
926000123281
109298166329
113a41632a91
121975b2b361
13b5248858a
14642c6c81b
153964773a4
hex22a36c239

9298166329 has 9 divisors (see below), whose sum is σ = 9362930031. Its totient is φ = 9233849520.

The previous prime is 9298166291. The next prime is 9298166359. The reversal of 9298166329 is 9236618929.

It is a happy number.

The square root of 9298166329 is 96427.

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

It can be written as a sum of positive squares in only one way, i.e., 8041605625 + 1256560704 = 89675^2 + 35448^2 .

It is not a de Polignac number, because 9298166329 - 221 = 9296069177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9298166329.

It is not an unprimeable number, because it can be changed into a prime (9298166359) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20345869 + ... + 20346325.

It is an arithmetic number, because the mean of its divisors is an integer number (1040325559).

Almost surely, 29298166329 is an apocalyptic number.

9298166329 is the 96427-th square number.

9298166329 is the 48214-th centered octagonal number.

It is an amenable number.

9298166329 is a deficient number, since it is larger than the sum of its proper divisors (64763702).

9298166329 is an frugal number, since it uses more digits than its factorization.

9298166329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 668 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 55.

The cubic root of 9298166329 is about 2102.8054966596.

The spelling of 9298166329 in words is "nine billion, two hundred ninety-eight million, one hundred sixty-six thousand, three hundred twenty-nine".

Divisors: 1 211 457 44521 96427 208849 20346097 44067139 9298166329