Search a number
-
+
66135069 = 33711132447
BaseRepresentation
bin1111110001001…
…0010000011101
311121110000021000
43330102100131
5113412310234
610321300513
71432065420
oct374222035
9147400230
1066135069
1134371290
121a194739
13109175a0
148ad79b7
155c15899
hex3f1241d

66135069 has 64 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 31700160.

The previous prime is 66135061. The next prime is 66135071. The reversal of 66135069 is 96053166.

66135069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66135069 - 23 = 66135061 is a prime.

It is a super-2 number, since 2×661350692 = 8747694703269522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66135061) 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 63 ways as a sum of consecutive naturals, for example, 25804 + ... + 28250.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 266135069 is an apocalyptic number.

It is an amenable number.

66135069 is a deficient number, since it is larger than the sum of its proper divisors (65469411).

66135069 is a wasteful number, since it uses less digits than its factorization.

66135069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66135069 is about 8132.3470781811. The cubic root of 66135069 is about 404.3994941395.

The spelling of 66135069 in words is "sixty-six million, one hundred thirty-five thousand, sixty-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2447 2457 3003 3861 7341 9009 17129 22023 26917 27027 31811 51387 66069 80751 95433 154161 188419 222677 242253 286299 349921 462483 565257 668031 726759 858897 1049763 1695771 2004093 2449447 3149289 5087313 6012279 7348341 9447867 22045023 66135069