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182675034025 = 521121924092
BaseRepresentation
bin1010101000100001000…
…1111100111110101001
3122110111221022020001221
42222020101330332221
510443104302042100
6215530355542041
716124600112061
oct2521021747651
9573457266057
10182675034025
1170521326900
122b4a15ba921
13142c2bc9413
148bad1b03a1
154b424ab01a
hex2a8847cfa9

182675034025 has 81 divisors (see below), whose sum is σ = 263419587333. Its totient is φ = 125554492800.

The previous prime is 182675034011. The next prime is 182675034041. The reversal of 182675034025 is 520430576281.

The square root of 182675034025 is 427405.

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

182675034025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20977756569 + 161697277456 = 144837^2 + 402116^2 .

It is not a de Polignac number, because 182675034025 - 229 = 182138163113 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 446638021 + ... + 446638429.

Almost surely, 2182675034025 is an apocalyptic number.

182675034025 is the 427405-th square number.

182675034025 is the 213703-rd centered octagonal number.

It is an amenable number.

182675034025 is a deficient number, since it is larger than the sum of its proper divisors (80744553308).

182675034025 is an equidigital number, since it uses as much as digits as its factorization.

182675034025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 182675034025 in words is "one hundred eighty-two billion, six hundred seventy-five million, thirty-four thousand, twenty-five".

Divisors: 1 5 11 19 25 55 95 121 209 275 361 409 475 605 1045 1805 2045 2299 3025 3971 4499 5225 7771 9025 10225 11495 19855 22495 38855 43681 49489 57475 85481 99275 112475 147649 167281 194275 218405 247445 427405 738245 836405 940291 1092025 1237225 1624139 1840091 2137025 3178339 3691225 4182025 4701455 8120695 9200455 15891695 17865529 20241001 23507275 34961729 40603475 46002275 60388441 79458475 89327645 101205005 174808645 301942205 384579019 446638225 506025025 664272851 874043225 1509711025 1922895095 3321364255 7307001361 9614475475 16606821275 36535006805 182675034025