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54164640193 is a prime number
BaseRepresentation
bin110010011100011101…
…101101000111000001
312011210211022210221221
4302130131231013001
51341412121441233
640514412115041
73625151562616
oct623435550701
9164724283857
1054164640193
1120a75588954
12a5b7765a81
135152817c71
14289b8a050d
1516202dc42d
hexc9c76d1c1

54164640193 has 2 divisors, whose sum is σ = 54164640194. Its totient is φ = 54164640192.

The previous prime is 54164640139. The next prime is 54164640197. The reversal of 54164640193 is 39104646145.

54164640193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (54164640139) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31530039489 + 22634600704 = 177567^2 + 150448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54164640193 is a prime.

It is not a weakly prime, because it can be changed into another prime (54164640197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27082320096 + 27082320097.

It is an arithmetic number, because the mean of its divisors is an integer number (27082320097).

Almost surely, 254164640193 is an apocalyptic number.

It is an amenable number.

54164640193 is a deficient number, since it is larger than the sum of its proper divisors (1).

54164640193 is an equidigital number, since it uses as much as digits as its factorization.

54164640193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 54164640193 in words is "fifty-four billion, one hundred sixty-four million, six hundred forty thousand, one hundred ninety-three".