Search a number
-
+
54164242009 is a prime number
BaseRepresentation
bin110010011100011100…
…001011111001011001
312011210210120120202101
4302130130023321121
51341412021221014
640514355403401
73625145314003
oct623434137131
9164723516671
1054164242009
1120a75336779
12a5b75b3561
135152708957
14289b7d9373
15162025e474
hexc9c70be59

54164242009 has 2 divisors, whose sum is σ = 54164242010. Its totient is φ = 54164242008.

The previous prime is 54164241979. The next prime is 54164242037. The reversal of 54164242009 is 90024246145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49049846784 + 5114395225 = 221472^2 + 71515^2 .

It is a cyclic number.

It is not a de Polignac number, because 54164242009 - 27 = 54164241881 is a prime.

It is a super-2 number, since 2×541642420092 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (54164242109) 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, 27082121004 + 27082121005.

It is an arithmetic number, because the mean of its divisors is an integer number (27082121005).

Almost surely, 254164242009 is an apocalyptic number.

It is an amenable number.

54164242009 is a deficient number, since it is larger than the sum of its proper divisors (1).

54164242009 is an equidigital number, since it uses as much as digits as its factorization.

54164242009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 54164242009 in words is "fifty-four billion, one hundred sixty-four million, two hundred forty-two thousand, nine".