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66164564 = 2253461677
BaseRepresentation
bin1111110001100…
…1011101010100
311121111111201102
43330121131110
5113414231224
610322045232
71432250414
oct374313524
9147444642
1066164564
1134391464
121a1a9818
1310927b3b
148b04644
155c1e4ae
hex3f19754

66164564 has 24 divisors (see below), whose sum is σ = 118403208. Its totient is φ = 32339840.

The previous prime is 66164543. The next prime is 66164569. The reversal of 66164564 is 46546166.

It can be written as a sum of positive squares in 4 ways, for example, as 32035600 + 34128964 = 5660^2 + 5842^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66164569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97394 + ... + 98070.

It is an arithmetic number, because the mean of its divisors is an integer number (4933467).

Almost surely, 266164564 is an apocalyptic number.

It is an amenable number.

66164564 is a deficient number, since it is larger than the sum of its proper divisors (52238644).

66164564 is a wasteful number, since it uses less digits than its factorization.

66164564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 66164564 is about 8134.1603131485. The cubic root of 66164564 is about 404.4596034003.

The spelling of 66164564 in words is "sixty-six million, one hundred sixty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 53 106 212 461 677 922 1354 1844 2708 24433 35881 48866 71762 97732 143524 312097 624194 1248388 16541141 33082282 66164564