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17117797225 = 5213721912
BaseRepresentation
bin11111111000100110…
…01101101101101001
31122011222011012022211
433330103031231221
5240024124002400
611510325445121
71144123606234
oct177423155551
948158135284
1017117797225
117294606461
1233988707a1
1317ca5287c9
14b855c441b
156a2be4dba
hex3fc4cdb69

17117797225 has 27 divisors (see below), whose sum is σ = 21494668741. Its totient is φ = 13523105600.

The previous prime is 17117797187. The next prime is 17117797273. The reversal of 17117797225 is 52279771171.

It is a happy number.

The square root of 17117797225 is 130835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49942489 + 17067854736 = 7067^2 + 130644^2 .

It is not a de Polignac number, because 17117797225 - 219 = 17117272937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89621880 + ... + 89622070.

Almost surely, 217117797225 is an apocalyptic number.

17117797225 is the 130835-th square number.

17117797225 is the 65418-th centered octagonal number.

It is an amenable number.

17117797225 is a deficient number, since it is larger than the sum of its proper divisors (4376871516).

17117797225 is an frugal number, since it uses more digits than its factorization.

17117797225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its digits is 432180, while the sum is 49.

Multiplying 17117797225 by its sum of digits (49), we get a square (838772064025 = 9158452).

The spelling of 17117797225 in words is "seventeen billion, one hundred seventeen million, seven hundred ninety-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 137 191 685 955 3425 4775 18769 26167 36481 93845 130835 182405 469225 654175 912025 3584879 4997897 17924395 24989485 89621975 124947425 684711889 3423559445 17117797225