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66627471 = 31719292371
BaseRepresentation
bin1111111000101…
…0011110001111
311122101000201010
43332022132033
5114024034341
610340020303
71436216121
oct376123617
9148330633
1066627471
1134678229
121a391693
1310a5a751
148bc5211
155cb1716
hex3f8a78f

66627471 has 32 divisors (see below), whose sum is σ = 102470400. Its totient is φ = 38223360.

The previous prime is 66627443. The next prime is 66627479. The reversal of 66627471 is 17472666.

66627471 = T474 + T475 + ... + T796.

It is not a de Polignac number, because 66627471 - 25 = 66627439 is a prime.

It is a super-3 number, since 3×666274713 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66627479) 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 31 ways as a sum of consecutive naturals, for example, 26916 + ... + 29286.

It is an arithmetic number, because the mean of its divisors is an integer number (3202200).

Almost surely, 266627471 is an apocalyptic number.

66627471 is a deficient number, since it is larger than the sum of its proper divisors (35842929).

66627471 is a wasteful number, since it uses less digits than its factorization.

66627471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439.

The product of its digits is 84672, while the sum is 39.

The square root of 66627471 is about 8162.5652217915. The cubic root of 66627471 is about 405.4006521390.

The spelling of 66627471 in words is "sixty-six million, six hundred twenty-seven thousand, four hundred seventy-one".

Divisors: 1 3 17 19 29 51 57 87 323 493 551 969 1479 1653 2371 7113 9367 28101 40307 45049 68759 120921 135147 206277 765833 1168903 1306421 2297499 3506709 3919263 22209157 66627471