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171424981225 = 5217248712
BaseRepresentation
bin1001111110100110111…
…0011010000011101001
3121101110220100022212201
42133221232122003221
510302034243344400
6210430200140201
715246033204241
oct2375156320351
9541426308781
10171424981225
1166778a29703
1229281a67661
131321c241344
14842300cb21
1546d49c706a
hex27e9b9a0e9

171424981225 has 27 divisors (see below), whose sum is σ = 225852809221. Its totient is φ = 129046428800.

The previous prime is 171424981213. The next prime is 171424981241. The reversal of 171424981225 is 522189424171.

The square root of 171424981225 is 414035.

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 4009802329 + 167415178896 = 63323^2 + 409164^2 .

It is not a de Polignac number, because 171424981225 - 211 = 171424979177 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, 35190540 + ... + 35195410.

Almost surely, 2171424981225 is an apocalyptic number.

171424981225 is the 414035-th square number.

171424981225 is the 207018-th centered octagonal number.

It is an amenable number.

171424981225 is a deficient number, since it is larger than the sum of its proper divisors (54427827996).

171424981225 is an frugal number, since it uses more digits than its factorization.

171424981225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 4893 counting only the distinct ones).

The product of its digits is 322560, while the sum is 46.

The spelling of 171424981225 in words is "one hundred seventy-one billion, four hundred twenty-four million, nine hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 4871 7225 24355 82807 121775 414035 1407719 2070175 7038595 23726641 35192975 118633205 403352897 593166025 2016764485 6856999249 10083822425 34284996245 171424981225