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67149149 is a prime number
BaseRepresentation
bin1000000000010…
…01110101011101
311200100112022112
410000021311131
5114142233044
610355123405
71443521054
oct400116535
9150315275
1067149149
11349a4171
121a5a3565
1310bb1032
148cbd39b
155d6609e
hex4009d5d

67149149 has 2 divisors, whose sum is σ = 67149150. Its totient is φ = 67149148.

The previous prime is 67149119. The next prime is 67149151. The reversal of 67149149 is 94194176.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60295225 + 6853924 = 7765^2 + 2618^2 .

It is a cyclic number.

It is not a de Polignac number, because 67149149 - 216 = 67083613 is a prime.

It is a super-2 number, since 2×671491492 = 9018016422848402, which contains 22 as substring.

Together with 67149151, 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 (67149119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33574574 + 33574575.

It is an arithmetic number, because the mean of its divisors is an integer number (33574575).

Almost surely, 267149149 is an apocalyptic number.

It is an amenable number.

67149149 is a deficient number, since it is larger than the sum of its proper divisors (1).

67149149 is an equidigital number, since it uses as much as digits as its factorization.

67149149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 41.

The square root of 67149149 is about 8194.4584323798. The cubic root of 67149149 is about 406.4559676993.

The spelling of 67149149 in words is "sixty-seven million, one hundred forty-nine thousand, one hundred forty-nine".