Search a number
-
+
27548473728301 is a prime number
BaseRepresentation
bin1100100001110001000001…
…11111011001110100101101
310121112121102111111201201221
412100320200333121310231
512102323233233301201
6134331332155103341
75542211601036511
oct620704077316455
9117477374451657
1027548473728301
118861273261359
12310b0b4141b51
13124aa6b5398a6
146b34d3426141
1532b8eba744a1
hex190e20fd9d2d

27548473728301 has 2 divisors, whose sum is σ = 27548473728302. Its totient is φ = 27548473728300.

The previous prime is 27548473728283. The next prime is 27548473728371. The reversal of 27548473728301 is 10382737484572.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27234840127401 + 313633600900 = 5218701^2 + 560030^2 .

It is a cyclic number.

It is not a de Polignac number, because 27548473728301 - 213 = 27548473720109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27548473728301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27548473728371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13774236864150 + 13774236864151.

It is an arithmetic number, because the mean of its divisors is an integer number (13774236864151).

Almost surely, 227548473728301 is an apocalyptic number.

It is an amenable number.

27548473728301 is a deficient number, since it is larger than the sum of its proper divisors (1).

27548473728301 is an equidigital number, since it uses as much as digits as its factorization.

27548473728301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63221760, while the sum is 61.

The spelling of 27548473728301 in words is "twenty-seven trillion, five hundred forty-eight billion, four hundred seventy-three million, seven hundred twenty-eight thousand, three hundred one".