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66171217166 = 22341101383907
BaseRepresentation
bin111101101000000111…
…001010010100001110
320022210120211010012222
4331220013022110032
52041004312422131
650222034455342
74531533031325
oct755007122416
9208716733188
1066171217166
1126076a2193a
12109a8734552
136317143292
1432ba3110bc
151ac440b87b
hexf681ca50e

66171217166 has 64 divisors (see below), whose sum is σ = 107547181056. Its totient is φ = 30456096000.

The previous prime is 66171217109. The next prime is 66171217181.

66171217166 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 72955685 + ... + 72956591.

It is an arithmetic number, because the mean of its divisors is an integer number (1680424704).

Almost surely, 266171217166 is an apocalyptic number.

66171217166 is a deficient number, since it is larger than the sum of its proper divisors (41375963890).

66171217166 is a wasteful number, since it uses less digits than its factorization.

66171217166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457.

The product of its digits is 127008, while the sum is 44.

The spelling of 66171217166 in words is "sixty-six billion, one hundred seventy-one million, two hundred seventeen thousand, one hundred sixty-six".

Divisors: 1 2 23 41 46 82 101 202 383 766 907 943 1814 1886 2323 4141 4646 8282 8809 15703 17618 20861 31406 37187 38683 41722 74374 77366 91607 95243 183214 190486 347381 361169 694762 722338 855301 889709 1586003 1710602 1779418 2106961 3172006 3755887 4213922 7511774 7989763 14242621 15979526 28485242 35085481 36478069 70170962 72956138 86385401 172770802 327580283 655160566 806966063 1438504721 1613932126 2877009442 33085608583 66171217166