Search a number
-
+
42057760513 is a prime number
BaseRepresentation
bin100111001010110101…
…100111111100000001
311000120002002121020211
4213022311213330001
51142113241314023
631153203434121
73016142031406
oct471265477401
9130502077224
1042057760513
1116922566a6a
128199085941
133c734a1432
14206d9c02ad
1511624a8a0d
hex9cad67f01

42057760513 has 2 divisors, whose sum is σ = 42057760514. Its totient is φ = 42057760512.

The previous prime is 42057760499. The next prime is 42057760567. The reversal of 42057760513 is 31506775024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25647381904 + 16410378609 = 160148^2 + 128103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42057760513 is a prime.

It is not a weakly prime, because it can be changed into another prime (42057760583) 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, 21028880256 + 21028880257.

It is an arithmetic number, because the mean of its divisors is an integer number (21028880257).

Almost surely, 242057760513 is an apocalyptic number.

It is an amenable number.

42057760513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42057760513 is an equidigital number, since it uses as much as digits as its factorization.

42057760513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 42057760513 in words is "forty-two billion, fifty-seven million, seven hundred sixty thousand, five hundred thirteen".