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39236082561 = 3413216932
BaseRepresentation
bin100100100010101001…
…110001101110000001
310202021102121111210000
4210202221301232001
51120323414120221
630005205230213
72556210125154
oct444251615601
9122242544700
1039236082561
1115704822615
127730102369
133913a24100
141c82d55c9b
1510498dae26
hex922a71b81

39236082561 has 45 divisors (see below), whose sum is σ = 63504861849. Its totient is φ = 24131019744.

The previous prime is 39236082539. The next prime is 39236082577. The reversal of 39236082561 is 16528063293.

The square root of 39236082561 is 198081.

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

39236082561 is a `hidden beast` number, since 3 + 9 + 2 + 3 + 6 + 0 + 82 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9376242561 + 29859840000 = 96831^2 + 172800^2 .

It is not a de Polignac number, because 39236082561 - 29 = 39236082049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39236082581) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23174631 + ... + 23176323.

Almost surely, 239236082561 is an apocalyptic number.

39236082561 is the 198081-st square number.

39236082561 is the 99041-st centered octagonal number.

It is an amenable number.

39236082561 is a deficient number, since it is larger than the sum of its proper divisors (24268779288).

39236082561 is an frugal number, since it uses more digits than its factorization.

39236082561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 39236082561 in words is "thirty-nine billion, two hundred thirty-six million, eighty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 1693 4563 5079 13689 15237 22009 45711 66027 137133 198081 286117 594243 858351 1782729 2575053 2866249 7725159 8598747 23175477 25796241 37261237 77388723 111783711 232166169 335351133 484396081 1006053399 1453188243 3018160197 4359564729 13078694187 39236082561