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66705133 = 1129673121
BaseRepresentation
bin1111111001110…
…1011011101101
311122111222020111
43332131123231
5114034031013
610341420021
71436661415
oct376353355
9148458214
1066705133
1134720610
121a40a611
1310a86bc1
148c05645
155cc973d
hex3f9d6ed

66705133 has 16 divisors (see below), whose sum is σ = 76426560. Its totient is φ = 57657600.

The previous prime is 66705113. The next prime is 66705179. The reversal of 66705133 is 33150766.

It is not a de Polignac number, because 66705133 - 217 = 66574061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66705095 and 66705104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66705113) 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 15 ways as a sum of consecutive naturals, for example, 19813 + ... + 22933.

It is an arithmetic number, because the mean of its divisors is an integer number (4776660).

Almost surely, 266705133 is an apocalyptic number.

It is an amenable number.

66705133 is a deficient number, since it is larger than the sum of its proper divisors (9721427).

66705133 is a wasteful number, since it uses less digits than its factorization.

66705133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 66705133 is about 8167.3210418105. The cubic root of 66705133 is about 405.5581047135.

Adding to 66705133 its reverse (33150766), we get a palindrome (99855899).

The spelling of 66705133 in words is "sixty-six million, seven hundred five thousand, one hundred thirty-three".

Divisors: 1 11 29 67 319 737 1943 3121 21373 34331 90509 209107 995599 2300177 6064103 66705133