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41483041577289 = 34132550492
BaseRepresentation
bin10010110111010100001011…
…11101010001100101001001
312102212201222111022000110000
421123222011331101211021
520414124232120433124
6224121013552113213
711511023304335454
oct1133520575214511
9172781874260400
1041483041577289
111224394a567484
12479b836835809
131a1baac4b7400
14a35b0b7aa49b
154be1083a36c9
hex25ba85f51949

41483041577289 has 45 divisors (see below), whose sum is σ = 67103197907493. Its totient is φ = 25527561853248.

The previous prime is 41483041577279. The next prime is 41483041577291. The reversal of 41483041577289 is 98277514038414.

The square root of 41483041577289 is 6440733.

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

41483041577289 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 30 + 4 + 1 + 577 + 28 + 9 = 666.

41483041577289 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 375811911225 + 41107229666064 = 613035^2 + 6411492^2 .

It is not a de Polignac number, because 41483041577289 - 221 = 41483039480137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41483041577209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 753538237 + ... + 753593285.

Almost surely, 241483041577289 is an apocalyptic number.

41483041577289 is the 6440733-rd square number.

41483041577289 is the 3220367-th centered octagonal number.

It is an amenable number.

41483041577289 is a deficient number, since it is larger than the sum of its proper divisors (25620156330204).

41483041577289 is an frugal number, since it uses more digits than its factorization.

41483041577289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110136 (or 55065 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 41483041577289 in words is "forty-one trillion, four hundred eighty-three billion, forty-one million, five hundred seventy-seven thousand, two hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 55049 165147 495441 715637 1486323 2146911 4458969 6440733 9303281 19322199 27909843 57966597 83729529 251188587 753565761 3030392401 9091177203 27273531609 39395101213 81820594827 118185303639 245461784481 354555910917 512136315769 1063667732751 1536408947307 3191003198253 4609226841921 13827680525763 41483041577289