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66117338 = 2741229503
BaseRepresentation
bin1111110000110…
…1111011011010
311121102002221022
43330031323122
5113411223323
610321042442
71431662630
oct374157332
9147362838
1066117338
1134359a31
121a186422
131090c4b1
148ad1350
155c104c8
hex3f0deda

66117338 has 32 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 27469440.

The previous prime is 66117323. The next prime is 66117349. The reversal of 66117338 is 83371166.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66117298 and 66117307.

It is an unprimeable number.

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, 131195 + ... + 131697.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 266117338 is an apocalyptic number.

66117338 is a deficient number, since it is larger than the sum of its proper divisors (50730022).

66117338 is a wasteful number, since it uses less digits than its factorization.

66117338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782.

The product of its digits is 18144, while the sum is 35.

The square root of 66117338 is about 8131.2568524183. The cubic root of 66117338 is about 404.3633506913.

The spelling of 66117338 in words is "sixty-six million, one hundred seventeen thousand, three hundred thirty-eight".

Divisors: 1 2 7 14 41 82 229 287 458 503 574 1006 1603 3206 3521 7042 9389 18778 20623 41246 65723 115187 131446 144361 230374 288722 806309 1612618 4722667 9445334 33058669 66117338