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9685512225 = 31852
BaseRepresentation
bin10010000010100110…
…10011000000100001
3221000000000000000000
421001103103000201
5124313442342400
64241030050213
7462005331654
oct110123230041
927000000000
109685512225
114120245764
121a637a9969
13bb47b922c
1467c49b89b
153ba48b600
hex2414d3021

9685512225 has 57 divisors (see below), whose sum is σ = 18015052723. Its totient is φ = 5165606520.

The previous prime is 9685512211. The next prime is 9685512241. The reversal of 9685512225 is 5222155869.

The square root of 9685512225 is 98415.

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

9685512225 is a `hidden beast` number, since 96 + 8 + 551 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3486784401 + 6198727824 = 59049^2 + 78732^2 .

It is not a de Polignac number, because 9685512225 - 27 = 9685512097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (432000) is a multiple of the sum of its prime divisors (8).

It is a nialpdrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 56 ways as a sum of consecutive naturals, for example, 1937102443 + ... + 1937102447.

Almost surely, 29685512225 is an apocalyptic number.

9685512225 is the 98415-th square number.

9685512225 is the 49208-th centered octagonal number.

It is an amenable number.

9685512225 is a deficient number, since it is larger than the sum of its proper divisors (8329540498).

9685512225 is an frugal number, since it uses more digits than its factorization.

9685512225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 8 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The cubic root of 9685512225 is about 2131.6089311572.

The spelling of 9685512225 in words is "nine billion, six hundred eighty-five million, five hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 2187 3645 6075 6561 10935 18225 19683 32805 54675 59049 98415 164025 177147 295245 492075 531441 885735 1476225 1594323 2657205 4428675 4782969 7971615 13286025 14348907 23914845 39858075 43046721 71744535 119574225 129140163 215233605 358722675 387420489 645700815 1076168025 1937102445 3228504075 9685512225