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66936629 is a prime number
BaseRepresentation
bin1111111101010…
…1111100110101
311122221201210102
43333111330311
5114113433004
610350403445
71441644344
oct377257465
9148851712
1066936629
1134869531
121a500585
1310b38396
148c65b5b
155d2311e
hex3fd5f35

66936629 has 2 divisors, whose sum is σ = 66936630. Its totient is φ = 66936628.

The previous prime is 66936619. The next prime is 66936631. The reversal of 66936629 is 92663966.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62378404 + 4558225 = 7898^2 + 2135^2 .

It is a cyclic number.

It is not a de Polignac number, because 66936629 - 24 = 66936613 is a prime.

Together with 66936631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66936619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33468314 + 33468315.

It is an arithmetic number, because the mean of its divisors is an integer number (33468315).

Almost surely, 266936629 is an apocalyptic number.

It is an amenable number.

66936629 is a deficient number, since it is larger than the sum of its proper divisors (1).

66936629 is an equidigital number, since it uses as much as digits as its factorization.

66936629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 629856, while the sum is 47.

The square root of 66936629 is about 8181.4808561776. The cubic root of 66936629 is about 406.0267177286.

The spelling of 66936629 in words is "sixty-six million, nine hundred thirty-six thousand, six hundred twenty-nine".