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67006109 is a prime number
BaseRepresentation
bin1111111110011…
…0111010011101
311200002021002202
43333212322131
5114123143414
610352101245
71442354042
oct377467235
9150067082
1067006109
1134906755
121a534825
1310b60bb1
148c831c9
155d389de
hex3fe6e9d

67006109 has 2 divisors, whose sum is σ = 67006110. Its totient is φ = 67006108.

The previous prime is 67006081. The next prime is 67006111. The reversal of 67006109 is 90160076.

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., 56957209 + 10048900 = 7547^2 + 3170^2 .

It is a cyclic number.

It is not a de Polignac number, because 67006109 - 220 = 65957533 is a prime.

Together with 67006111, 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 (67006909) 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, 33503054 + 33503055.

It is an arithmetic number, because the mean of its divisors is an integer number (33503055).

Almost surely, 267006109 is an apocalyptic number.

It is an amenable number.

67006109 is a deficient number, since it is larger than the sum of its proper divisors (1).

67006109 is an equidigital number, since it uses as much as digits as its factorization.

67006109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 67006109 is about 8185.7259299344. The cubic root of 67006109 is about 406.1671539467.

The spelling of 67006109 in words is "sixty-seven million, six thousand, one hundred nine".