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67108009 is a prime number
BaseRepresentation
bin1111111111111…
…1110010101001
311200021102212211
43333333302221
5114134424014
610354205121
71443260113
oct377776251
9150242784
1067108009
1134976271
121a5837a1
1310b983a7
148cac3b3
155d58cc4
hex3fffca9

67108009 has 2 divisors, whose sum is σ = 67108010. Its totient is φ = 67108008.

The previous prime is 67108007. The next prime is 67108033. The reversal of 67108009 is 90080176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54169600 + 12938409 = 7360^2 + 3597^2 .

It is a cyclic number.

It is not a de Polignac number, because 67108009 - 21 = 67108007 is a prime.

Together with 67108007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (67108003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33554004 + 33554005.

It is an arithmetic number, because the mean of its divisors is an integer number (33554005).

Almost surely, 267108009 is an apocalyptic number.

It is an amenable number.

67108009 is a deficient number, since it is larger than the sum of its proper divisors (1).

67108009 is an equidigital number, since it uses as much as digits as its factorization.

67108009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 67108009 is about 8191.9478147752. The cubic root of 67108009 is about 406.3729434920.

The spelling of 67108009 in words is "sixty-seven million, one hundred eight thousand, nine".