Search a number
-
+
53540706462073 is a prime number
BaseRepresentation
bin11000010110001111010101…
…10010100010100101111001
321000120102220220000210002221
430023013222302202211321
524004202331323241243
6305512132212524041
714164121421652555
oct1413075262424571
9230512826023087
1053540706462073
1116072538aa3756
12600866a320621
1323b4b3691599c
14d31553a6c865
1562cab3a1abed
hex30b1eaca2979

53540706462073 has 2 divisors, whose sum is σ = 53540706462074. Its totient is φ = 53540706462072.

The previous prime is 53540706462053. The next prime is 53540706462091. The reversal of 53540706462073 is 37026460704535.

53540706462073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45396372208489 + 8144334253584 = 6737683^2 + 2853828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-53540706462073 is a prime.

It is a super-3 number, since 3×535407064620733 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53540706462073.

It is not a weakly prime, because it can be changed into another prime (53540706462013) 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, 26770353231036 + 26770353231037.

It is an arithmetic number, because the mean of its divisors is an integer number (26770353231037).

Almost surely, 253540706462073 is an apocalyptic number.

It is an amenable number.

53540706462073 is a deficient number, since it is larger than the sum of its proper divisors (1).

53540706462073 is an equidigital number, since it uses as much as digits as its factorization.

53540706462073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 52.

The spelling of 53540706462073 in words is "fifty-three trillion, five hundred forty billion, seven hundred six million, four hundred sixty-two thousand, seventy-three".