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66164319 = 3213565507
BaseRepresentation
bin1111110001100…
…1011001011111
311121111111101100
43330121121133
5113414224234
610322044143
71432246614
oct374313137
9147444340
1066164319
1134391261
121a1a9653
13109279b0
148b0450b
155c1e399
hex3f1965f

66164319 has 12 divisors (see below), whose sum is σ = 102922456. Its totient is φ = 40716432.

The previous prime is 66164303. The next prime is 66164347. The reversal of 66164319 is 91346166.

66164319 is a `hidden beast` number, since 6 + 6 + 1 + 643 + 1 + 9 = 666.

It is not a de Polignac number, because 66164319 - 24 = 66164303 is a prime.

It is a super-2 number, since 2×661643192 = 8755434217467522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66164389) 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 11 ways as a sum of consecutive naturals, for example, 282637 + ... + 282870.

Almost surely, 266164319 is an apocalyptic number.

66164319 is a deficient number, since it is larger than the sum of its proper divisors (36758137).

66164319 is a wasteful number, since it uses less digits than its factorization.

66164319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565526 (or 565523 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 66164319 is about 8134.1452531904. The cubic root of 66164319 is about 404.4591041768.

It can be divided in two parts, 661 and 64319, that added together give a triangular number (64980 = T360).

The spelling of 66164319 in words is "sixty-six million, one hundred sixty-four thousand, three hundred nineteen".

Divisors: 1 3 9 13 39 117 565507 1696521 5089563 7351591 22054773 66164319