Search a number
-
+
54093800729681 is a prime number
BaseRepresentation
bin11000100110010101100011…
…10001101110110001010001
321002112022112222110202011022
430103022301301232301101
524042233100441322211
6311014203214325225
714252101544446316
oct1423126161566121
9232468488422138
1054093800729681
1116266063320259
1260978a84b9815
13242503c8a224b
14d50222526d0d
1563c1859a8bdb
hex3132b1c6ec51

54093800729681 has 2 divisors, whose sum is σ = 54093800729682. Its totient is φ = 54093800729680.

The previous prime is 54093800729593. The next prime is 54093800729741. The reversal of 54093800729681 is 18692700839045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41902641900625 + 12191158829056 = 6473225^2 + 3491584^2 .

It is a cyclic number.

It is not a de Polignac number, because 54093800729681 - 222 = 54093796535377 is a prime.

It is a super-2 number, since 2×540938007296812 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (54093800719681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27046900364840 + 27046900364841.

It is an arithmetic number, because the mean of its divisors is an integer number (27046900364841).

It is a 2-persistent number, because it is pandigital, and so is 2⋅54093800729681 = 108187601459362, but 3⋅54093800729681 = 162281402189043 is not.

Almost surely, 254093800729681 is an apocalyptic number.

It is an amenable number.

54093800729681 is a deficient number, since it is larger than the sum of its proper divisors (1).

54093800729681 is an equidigital number, since it uses as much as digits as its factorization.

54093800729681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 54093800729681 in words is "fifty-four trillion, ninety-three billion, eight hundred million, seven hundred twenty-nine thousand, six hundred eighty-one".