Search a number
-
+
54364355504353 is a prime number
BaseRepresentation
bin11000101110001101100000…
…00110010010100011100001
321010111011220102000100022101
430113012300012102203201
524111201200002114403
6311342350134210401
714310460260211666
oct1427066006224341
9233434812010271
1054364355504353
111635a880451994
1261202147b3a01
1324446c925b5ab
14d5d36ab93a6d
1564421d0c671d
hex3171b01928e1

54364355504353 has 2 divisors, whose sum is σ = 54364355504354. Its totient is φ = 54364355504352.

The previous prime is 54364355504311. The next prime is 54364355504387. The reversal of 54364355504353 is 35340555346345.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36536850663184 + 17827504841169 = 6044572^2 + 4222263^2 .

It is a cyclic number.

It is not a de Polignac number, because 54364355504353 - 241 = 52165332248801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54364355504294 and 54364355504303.

It is not a weakly prime, because it can be changed into another prime (54364355504453) 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, 27182177752176 + 27182177752177.

It is an arithmetic number, because the mean of its divisors is an integer number (27182177752177).

Almost surely, 254364355504353 is an apocalyptic number.

It is an amenable number.

54364355504353 is a deficient number, since it is larger than the sum of its proper divisors (1).

54364355504353 is an equidigital number, since it uses as much as digits as its factorization.

54364355504353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200000, while the sum is 55.

The spelling of 54364355504353 in words is "fifty-four trillion, three hundred sixty-four billion, three hundred fifty-five million, five hundred four thousand, three hundred fifty-three".