Search a number
-
+
746057345241073 is a prime number
BaseRepresentation
bin1010100110100010010000001…
…1000010111000111111110001
310121211120101102010212100100011
42221220210003002320333301
51240241400420340203243
611202422002442054521
7313100602335506245
oct25150440302707761
93554511363770304
10746057345241073
111a6798163793a58
126b812ab34aa441
1326039ba1000b08
14d2335223c4425
155b3b9e4c9989d
hex2a689030b8ff1

746057345241073 has 2 divisors, whose sum is σ = 746057345241074. Its totient is φ = 746057345241072.

The previous prime is 746057345241053. The next prime is 746057345241077. The reversal of 746057345241073 is 370142543750647.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481269174871104 + 264788170369969 = 21937848^2 + 16272313^2 .

It is an emirp because it is prime and its reverse (370142543750647) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 746057345241073 - 25 = 746057345241041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 746057345240999 and 746057345241017.

It is not a weakly prime, because it can be changed into another prime (746057345241077) 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, 373028672620536 + 373028672620537.

It is an arithmetic number, because the mean of its divisors is an integer number (373028672620537).

Almost surely, 2746057345241073 is an apocalyptic number.

It is an amenable number.

746057345241073 is a deficient number, since it is larger than the sum of its proper divisors (1).

746057345241073 is an equidigital number, since it uses as much as digits as its factorization.

746057345241073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59270400, while the sum is 58.

The spelling of 746057345241073 in words is "seven hundred forty-six trillion, fifty-seven billion, three hundred forty-five million, two hundred forty-one thousand, seventy-three".