Search a number
-
+
45135821461 is a prime number
BaseRepresentation
bin101010000010010011…
…011111101010010101
311022111121000022002011
4222002103133222111
51214414232241321
632422441144221
73155336103133
oct520223375225
9138447008064
1045135821461
1118161aa3795
1288b7a8b071
1343440b7583
142282706753
15129281bae1
hexa824dfa95

45135821461 has 2 divisors, whose sum is σ = 45135821462. Its totient is φ = 45135821460.

The previous prime is 45135821447. The next prime is 45135821539. The reversal of 45135821461 is 16412853154.

45135821461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42815472561 + 2320348900 = 206919^2 + 48170^2 .

It is a cyclic number.

It is not a de Polignac number, because 45135821461 - 27 = 45135821333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45135821411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22567910730 + 22567910731.

It is an arithmetic number, because the mean of its divisors is an integer number (22567910731).

Almost surely, 245135821461 is an apocalyptic number.

It is an amenable number.

45135821461 is a deficient number, since it is larger than the sum of its proper divisors (1).

45135821461 is an equidigital number, since it uses as much as digits as its factorization.

45135821461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 115200, while the sum is 40.

The spelling of 45135821461 in words is "forty-five billion, one hundred thirty-five million, eight hundred twenty-one thousand, four hundred sixty-one".