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66168279 = 3319128983
BaseRepresentation
bin1111110001101…
…0010111010111
311121111200211000
43330122113113
5113414341104
610322114343
71432264302
oct374322727
9147450730
1066168279
1134394231
121a1ab9b3
1310929738
148b05b39
155c20639
hex3f1a5d7

66168279 has 16 divisors (see below), whose sum is σ = 103187200. Its totient is φ = 41790168.

The previous prime is 66168269. The next prime is 66168281. The reversal of 66168279 is 97286166.

66168279 is a `hidden beast` number, since 6 + 616 + 8 + 27 + 9 = 666.

It is not a de Polignac number, because 66168279 - 29 = 66167767 is a prime.

It is a super-2 number, since 2×661682792 = 8756482291643682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66168209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63979 + ... + 65004.

It is an arithmetic number, because the mean of its divisors is an integer number (6449200).

Almost surely, 266168279 is an apocalyptic number.

66168279 is a deficient number, since it is larger than the sum of its proper divisors (37018921).

66168279 is a wasteful number, since it uses less digits than its factorization.

66168279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129011 (or 129005 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 66168279 is about 8134.3886678717. The cubic root of 66168279 is about 404.4671731084.

The spelling of 66168279 in words is "sixty-six million, one hundred sixty-eight thousand, two hundred seventy-nine".

Divisors: 1 3 9 19 27 57 171 513 128983 386949 1160847 2450677 3482541 7352031 22056093 66168279