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3612033286225 = 527213241772
BaseRepresentation
bin110100100011111101111…
…101100000000001010001
3110210022021210212121101221
4310203331331200001101
5433134421010124400
611403202320525041
7521650360232200
oct64437575400121
913708253777357
103612033286225
111172944696321
124a4052780781
132027c84a7900
14c6b75381237
1563e55c09c1a
hex348fdf60051

3612033286225 has 81 divisors (see below), whose sum is σ = 5643136755027. Its totient is φ = 2285750638080.

The previous prime is 3612033286219. The next prime is 3612033286241. The reversal of 3612033286225 is 5226823302163.

The square root of 3612033286225 is 1900535.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1901776144401 + 1710257141824 = 1379049^2 + 1307768^2 .

It is not a de Polignac number, because 3612033286225 - 217 = 3612033155153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 864741337 + ... + 864745513.

Almost surely, 23612033286225 is an apocalyptic number.

3612033286225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3612033286225 is the 1900535-th square number.

3612033286225 is the 950268-th centered octagonal number.

It is an amenable number.

3612033286225 is a deficient number, since it is larger than the sum of its proper divisors (2031103468802).

3612033286225 is an frugal number, since it uses more digits than its factorization.

3612033286225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

Adding to 3612033286225 its reverse (5226823302163), we get a palindrome (8838856588388).

The spelling of 3612033286225 in words is "three trillion, six hundred twelve billion, thirty-three million, two hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 2275 3185 4177 4225 5915 8281 15925 20885 29239 29575 41405 54301 104425 146195 204673 207025 271505 380107 705913 730975 1023365 1357525 1900535 2660749 3529565 4941391 5116825 9502675 13303745 17447329 17647825 24706955 34589737 66518725 87236645 122131303 123534775 172948685 226815277 436183225 610656515 854919121 864743425 1134076385 1587706939 2948598601 3053282575 4274595605 5670381925 7938534695 11113948573 14742993005 20640190207 21372978025 39692673475 55569742865 73714965025 103200951035 144481331449 277848714325 516004755175 722406657245 3612033286225