Search a number
-
+
66863329 = 132172372
BaseRepresentation
bin1111111100010…
…0000011100001
311122211000020121
43333010003201
5114104111304
610345040241
71441220551
oct377040341
9148730217
1066863329
1134819455
121a486081
1310b10c00
148c47161
155d0b554
hex3fc40e1

66863329 has 27 divisors (see below), whose sum is σ = 79046667. Its totient is φ = 56519424.

The previous prime is 66863267. The next prime is 66863339. The reversal of 66863329 is 92336866.

The square root of 66863329 is 8177.

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

66863329 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 13 ways, for example, as 11390625 + 55472704 = 3375^2 + 7448^2 .

It is not a de Polignac number, because 66863329 - 27 = 66863201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66863339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1807099 + ... + 1807135.

Almost surely, 266863329 is an apocalyptic number.

66863329 is the 8177-th square number.

66863329 is the 4089-th centered octagonal number.

It is an amenable number.

66863329 is a deficient number, since it is larger than the sum of its proper divisors (12183338).

66863329 is a wasteful number, since it uses less digits than its factorization.

66863329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The cubic root of 66863329 is about 405.8784549654.

The spelling of 66863329 in words is "sixty-six million, eight hundred sixty-three thousand, three hundred twenty-nine".

Divisors: 1 13 17 37 169 221 289 481 629 1369 2873 3757 6253 8177 10693 17797 23273 48841 106301 139009 231361 302549 395641 1807117 3933137 5143333 66863329