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12066538084157 is a prime number
BaseRepresentation
bin1010111110010111010110…
…1101110101011100111101
31120201112211210012222220202
42233211311231311130331
53040144232222143112
641355142512053245
72353531030261034
oct257456555653475
946645753188822
1012066538084157
1139324321a12a7
12142a6ab234225
13696b3c84340b
142da04890b71b
1515dd296486c2
hexaf975b7573d

12066538084157 has 2 divisors, whose sum is σ = 12066538084158. Its totient is φ = 12066538084156.

The previous prime is 12066538084129. The next prime is 12066538084297. The reversal of 12066538084157 is 75148083566021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10217778468676 + 1848759615481 = 3196526^2 + 1359691^2 .

It is an emirp because it is prime and its reverse (75148083566021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12066538084157 - 218 = 12066537822013 is a prime.

It is a super-2 number, since 2×120665380841572 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12066538084357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6033269042078 + 6033269042079.

It is an arithmetic number, because the mean of its divisors is an integer number (6033269042079).

Almost surely, 212066538084157 is an apocalyptic number.

It is an amenable number.

12066538084157 is a deficient number, since it is larger than the sum of its proper divisors (1).

12066538084157 is an equidigital number, since it uses as much as digits as its factorization.

12066538084157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 12066538084157 in words is "twelve trillion, sixty-six billion, five hundred thirty-eight million, eighty-four thousand, one hundred fifty-seven".