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66065965 = 572416577
BaseRepresentation
bin1111110000000…
…1011000101101
311121022111110121
43330001120231
5113403102330
610320004541
71431360100
oct374013055
9147274417
1066065965
1134324379
121a160751
13108c1cb4
148aba737
155c0017a
hex3f0162d

66065965 has 24 divisors (see below), whose sum is σ = 94486392. Its totient is φ = 44190720.

The previous prime is 66065963. The next prime is 66065977. The reversal of 66065965 is 56956066.

66065965 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 9229444 + 56836521 = 3038^2 + 7539^2 .

It is not a de Polignac number, because 66065965 - 21 = 66065963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66065963) 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 23 ways as a sum of consecutive naturals, for example, 6757 + ... + 13333.

It is an arithmetic number, because the mean of its divisors is an integer number (3936933).

Almost surely, 266065965 is an apocalyptic number.

It is an amenable number.

66065965 is a deficient number, since it is larger than the sum of its proper divisors (28420427).

66065965 is a wasteful number, since it uses less digits than its factorization.

66065965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 43.

The square root of 66065965 is about 8128.0972558158. The cubic root of 66065965 is about 404.2585937967.

The spelling of 66065965 in words is "sixty-six million, sixty-five thousand, nine hundred sixty-five".

Divisors: 1 5 7 35 41 49 205 245 287 1435 2009 6577 10045 32885 46039 230195 269657 322273 1348285 1611365 1887599 9437995 13213193 66065965