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66419217 = 3318113591
BaseRepresentation
bin1111110101011…
…1101000010001
311121222110001000
43331113220101
5114000403332
610331332213
71434361014
oct375275021
9147873030
1066419217
1134545817
121a2b1069
13109b6a17
148b6d37b
155c6eb7c
hex3f57a11

66419217 has 16 divisors (see below), whose sum is σ = 98949760. Its totient is φ = 44031600.

The previous prime is 66419209. The next prime is 66419233. The reversal of 66419217 is 71291466.

66419217 is a `hidden beast` number, since 6 + 641 + 9 + 2 + 1 + 7 = 666.

It is not a de Polignac number, because 66419217 - 23 = 66419209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66419207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1909 + ... + 11682.

It is an arithmetic number, because the mean of its divisors is an integer number (6184360).

Almost surely, 266419217 is an apocalyptic number.

It is an amenable number.

66419217 is a deficient number, since it is larger than the sum of its proper divisors (32530543).

66419217 is a wasteful number, since it uses less digits than its factorization.

66419217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781 (or 13775 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 66419217 is about 8149.7985864683. The cubic root of 66419217 is about 404.9778314340.

It can be divided in two parts, 664 and 19217, that added together give a square (19881 = 1412).

The spelling of 66419217 in words is "sixty-six million, four hundred nineteen thousand, two hundred seventeen".

Divisors: 1 3 9 27 181 543 1629 4887 13591 40773 122319 366957 2459971 7379913 22139739 66419217