Search a number
-
+
67148009 is a prime number
BaseRepresentation
bin1000000000010…
…01100011101001
311200100110202022
410000021203221
5114142214014
610355114225
71443514535
oct400114351
9150313668
1067148009
11349a3325
121a5a2975
1310bb0666
148cbcbc5
155d65a8e
hex40098e9

67148009 has 2 divisors, whose sum is σ = 67148010. Its totient is φ = 67148008.

The previous prime is 67147991. The next prime is 67148023. The reversal of 67148009 is 90084176.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66373609 + 774400 = 8147^2 + 880^2 .

It is a cyclic number.

It is not a de Polignac number, because 67148009 - 220 = 66099433 is a prime.

It is a super-2 number, since 2×671480092 = 9017710225328162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67148009.

It is not a weakly prime, because it can be changed into another prime (67148309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33574004 + 33574005.

It is an arithmetic number, because the mean of its divisors is an integer number (33574005).

Almost surely, 267148009 is an apocalyptic number.

It is an amenable number.

67148009 is a deficient number, since it is larger than the sum of its proper divisors (1).

67148009 is an equidigital number, since it uses as much as digits as its factorization.

67148009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 67148009 is about 8194.3888728812. The cubic root of 67148009 is about 406.4536675340.

The spelling of 67148009 in words is "sixty-seven million, one hundred forty-eight thousand, nine".