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66200717 = 1131832339
BaseRepresentation
bin1111110010001…
…0010010001101
311121120100022102
43330202102031
5113421410332
610322524445
71432461002
oct374422215
9147510272
1066200717
1134406640
121a206725
131093b42b
148b138a9
155c2a062
hex3f2248d

66200717 has 16 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 57514800.

The previous prime is 66200683. The next prime is 66200723. The reversal of 66200717 is 71700266.

66200717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 66200717 - 26 = 66200653 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66200717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66200767) 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 15 ways as a sum of consecutive naturals, for example, 27134 + ... + 29472.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 266200717 is an apocalyptic number.

It is an amenable number.

66200717 is a deficient number, since it is larger than the sum of its proper divisors (9278323).

66200717 is a wasteful number, since it uses less digits than its factorization.

66200717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 66200717 is about 8136.3823041939. The cubic root of 66200717 is about 404.5332569528.

The spelling of 66200717 in words is "sixty-six million, two hundred thousand, seven hundred seventeen".

Divisors: 1 11 31 83 341 913 2339 2573 25729 28303 72509 194137 797599 2135507 6018247 66200717