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66829349 is a prime number
BaseRepresentation
bin1111111011101…
…1110000100101
311122202021122002
43332323300211
5114102014344
610344215045
71441016516
oct376736045
9148667562
1066829349
11347a5974
121a46a485
1310acb5c2
148c38a0d
155d0144e
hex3fbbc25

66829349 has 2 divisors, whose sum is σ = 66829350. Its totient is φ = 66829348.

The previous prime is 66829337. The next prime is 66829361. The reversal of 66829349 is 94392866.

It is a balanced prime because it is at equal distance from previous prime (66829337) and next prime (66829361).

It can be written as a sum of positive squares in only one way, i.e., 55606849 + 11222500 = 7457^2 + 3350^2 .

It is a cyclic number.

It is not a de Polignac number, because 66829349 - 28 = 66829093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66829319) 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 as a sum of consecutive naturals, namely, 33414674 + 33414675.

It is an arithmetic number, because the mean of its divisors is an integer number (33414675).

Almost surely, 266829349 is an apocalyptic number.

It is an amenable number.

66829349 is a deficient number, since it is larger than the sum of its proper divisors (1).

66829349 is an equidigital number, since it uses as much as digits as its factorization.

66829349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 559872, while the sum is 47.

The square root of 66829349 is about 8174.9219568140. The cubic root of 66829349 is about 405.8096873909.

The spelling of 66829349 in words is "sixty-six million, eight hundred twenty-nine thousand, three hundred forty-nine".