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66385167 = 3311315449
BaseRepresentation
bin1111110100111…
…1010100001111
311121220201022220
43331033110033
5113443311132
610330510423
71434156522
oct375172417
9147821286
1066385167
1134522182
121a295413
13109a4384
148b60bb9
155c64a2c
hex3f4f50f

66385167 has 16 divisors (see below), whose sum is σ = 92083200. Its totient is φ = 42494400.

The previous prime is 66385159. The next prime is 66385169. The reversal of 66385167 is 76158366.

It is not a de Polignac number, because 66385167 - 23 = 66385159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66385169) 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, 9459 + ... + 14907.

It is an arithmetic number, because the mean of its divisors is an integer number (5755200).

Almost surely, 266385167 is an apocalyptic number.

66385167 is a deficient number, since it is larger than the sum of its proper divisors (25698033).

66385167 is a wasteful number, since it uses less digits than its factorization.

66385167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614.

The product of its digits is 181440, while the sum is 42.

The square root of 66385167 is about 8147.7093099840. The cubic root of 66385167 is about 404.9086152601.

The spelling of 66385167 in words is "sixty-six million, three hundred eighty-five thousand, one hundred sixty-seven".

Divisors: 1 3 31 93 131 393 4061 5449 12183 16347 168919 506757 713819 2141457 22128389 66385167