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66054663 = 332922909
BaseRepresentation
bin1111101111111…
…0101000000111
311121021220222000
43323332220013
5113402222123
610315440343
71431312123
oct373765007
9147256860
1066054663
1134316934
121a1560b3
13108b9acc
148ab6583
155bebb43
hex3efea07

66054663 has 24 divisors (see below), whose sum is σ = 101384400. Its totient is φ = 42503328.

The previous prime is 66054647. The next prime is 66054671. The reversal of 66054663 is 36645066.

66054663 is a `hidden beast` number, since 6 + 605 + 46 + 6 + 3 = 666.

It is not a de Polignac number, because 66054663 - 24 = 66054647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66054613) 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 23 ways as a sum of consecutive naturals, for example, 21253 + ... + 24161.

It is an arithmetic number, because the mean of its divisors is an integer number (4224350).

Almost surely, 266054663 is an apocalyptic number.

66054663 is a deficient number, since it is larger than the sum of its proper divisors (35329737).

66054663 is a wasteful number, since it uses less digits than its factorization.

66054663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 66054663 is about 8127.4019834139. The cubic root of 66054663 is about 404.2355401150.

The spelling of 66054663 in words is "sixty-six million, fifty-four thousand, six hundred sixty-three".

Divisors: 1 3 9 27 29 87 261 783 841 2523 2909 7569 8727 22707 26181 78543 84361 253083 759249 2277747 2446469 7339407 22018221 66054663