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66422466 = 23211230497
BaseRepresentation
bin1111110101100…
…0011011000010
311121222121111100
43331120123002
5114001004331
610331355230
71434403335
oct375303302
9147877440
1066422466
1134548200
121a2b2b16
13109b8346
148b7061c
155c70ae6
hex3f586c2

66422466 has 36 divisors (see below), whose sum is σ = 158193126. Its totient is φ = 20127360.

The previous prime is 66422453. The next prime is 66422471.

66422466 is a `hidden beast` number, since 6 + 642 + 2 + 4 + 6 + 6 = 666.

66422466 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 49406841 + 17015625 = 7029^2 + 4125^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66422466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13071 + ... + 17426.

Almost surely, 266422466 is an apocalyptic number.

66422466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66422466 is an abundant number, since it is smaller than the sum of its proper divisors (91770660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66422466 is a wasteful number, since it uses less digits than its factorization.

66422466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30527 (or 30513 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66422466 is about 8149.9979141102. The cubic root of 66422466 is about 404.9844347013.

The spelling of 66422466 in words is "sixty-six million, four hundred twenty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 30497 60994 91491 182982 274473 335467 548946 670934 1006401 2012802 3019203 3690137 6038406 7380274 11070411 22140822 33211233 66422466