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66056664 = 23329107887
BaseRepresentation
bin1111101111111…
…1000111011000
311121022000201010
43323333013120
5113402303124
610315453520
71431321012
oct373770730
9147260633
1066056664
1134318393
121a1572a0
13108ba9ab
148ab71b2
155bec529
hex3eff1d8

66056664 has 64 divisors (see below), whose sum is σ = 172627200. Its totient is φ = 21037184.

The previous prime is 66056663. The next prime is 66056689. The reversal of 66056664 is 46665066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66056663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74029 + ... + 74915.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 266056664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66056664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86313600).

66056664 is an abundant number, since it is smaller than the sum of its proper divisors (106570536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66056664 is a wasteful number, since it uses less digits than its factorization.

66056664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 66056664 is about 8127.5250845506. The cubic root of 66056664 is about 404.2396219219.

The spelling of 66056664 in words is "sixty-six million, fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 107 116 174 214 232 321 348 428 642 696 856 887 1284 1774 2568 2661 3103 3548 5322 6206 7096 9309 10644 12412 18618 21288 24824 25723 37236 51446 74472 77169 94909 102892 154338 189818 205784 284727 308676 379636 569454 617352 759272 1138908 2277816 2752361 5504722 8257083 11009444 16514166 22018888 33028332 66056664