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6442328225 = 521072579371
BaseRepresentation
bin1011111111111111…
…00010000010100001
3121121222101011221002
411333333202002201
5101143214000400
62543133241345
7315434613014
oct57777420241
917558334832
106442328225
112806587603
1212b9633255
137b890a848
1445187137b
1527a8aced5
hex17ffe20a1

6442328225 has 24 divisors (see below), whose sum is σ = 8095383648. Its totient is φ = 5085286400.

The previous prime is 6442328201. The next prime is 6442328281. The reversal of 6442328225 is 5228232446.

It is a de Polignac number, because none of the positive numbers 2k-6442328225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682790 + ... + 692160.

It is an arithmetic number, because the mean of its divisors is an integer number (337307652).

Almost surely, 26442328225 is an apocalyptic number.

It is an amenable number.

6442328225 is a deficient number, since it is larger than the sum of its proper divisors (1653055423).

6442328225 is a wasteful number, since it uses less digits than its factorization.

6442328225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9745 (or 9740 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

The square root of 6442328225 is about 80264.1154252634. The cubic root of 6442328225 is about 1860.7196722731.

The spelling of 6442328225 in words is "six billion, four hundred forty-two million, three hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 107 257 535 1285 2675 6425 9371 27499 46855 137495 234275 687475 1002697 2408347 5013485 12041735 25067425 60208675 257693129 1288465645 6442328225