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52566108529 = 11219210972
BaseRepresentation
bin110000111101001011…
…110010100101110001
312000200102101222202111
4300331023302211301
51330123410433104
640052030045321
73540431356504
oct607513624561
9160612358674
1052566108529
112032521a400
12a230349841
134c595a763c
14278946d13b
151579ccd404
hexc3d2f2971

52566108529 has 27 divisors (see below), whose sum is σ = 61035983211. Its totient is φ = 45230977440.

The previous prime is 52566108521. The next prime is 52566108533. The reversal of 52566108529 is 92580166525.

It is a happy number.

The square root of 52566108529 is 229273.

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

It can be written as a sum of positive squares in only one way, i.e., 14948730225 + 37617378304 = 122265^2 + 193952^2 .

It is not a de Polignac number, because 52566108529 - 23 = 52566108521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52566108521) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 47917509 + ... + 47918605.

Almost surely, 252566108529 is an apocalyptic number.

52566108529 is the 229273-rd square number.

52566108529 is the 114637-th centered octagonal number.

It is an amenable number.

52566108529 is a deficient number, since it is larger than the sum of its proper divisors (8469874682).

52566108529 is an equidigital number, since it uses as much as digits as its factorization.

52566108529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 52566108529 by its sum of digits (49), we get a square (2575739317921 = 16049112).

The spelling of 52566108529 in words is "fifty-two billion, five hundred sixty-six million, one hundred eight thousand, five hundred twenty-nine".

Divisors: 1 11 19 121 209 361 1097 2299 3971 12067 20843 43681 132737 229273 396017 1203409 2522003 4356187 13237499 22864771 47918057 145612489 251512481 434430649 2766637291 4778737139 52566108529