Search a number
-
+
744705022664513 is a prime number
BaseRepresentation
bin1010100101010011100010011…
…0010101101001111101000001
310121122210002211110100121102002
42221110320212111221331001
51240102221341300231023
611155504433044033345
7312601106456330561
oct25124704625517501
93548702743317362
10744705022664513
111a6316698968659
126b6349a5392855
1325c6c4c7c18701
14d1c7cb5c80da1
155b1674764db28
hex2a54e26569f41

744705022664513 has 2 divisors, whose sum is σ = 744705022664514. Its totient is φ = 744705022664512.

The previous prime is 744705022664431. The next prime is 744705022664557. The reversal of 744705022664513 is 315466220507447.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414775870406209 + 329929152258304 = 20366047^2 + 18163952^2 .

It is an emirp because it is prime and its reverse (315466220507447) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 744705022664513 - 210 = 744705022663489 is a prime.

It is not a weakly prime, because it can be changed into another prime (744705022664593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 372352511332256 + 372352511332257.

It is an arithmetic number, because the mean of its divisors is an integer number (372352511332257).

Almost surely, 2744705022664513 is an apocalyptic number.

It is an amenable number.

744705022664513 is a deficient number, since it is larger than the sum of its proper divisors (1).

744705022664513 is an equidigital number, since it uses as much as digits as its factorization.

744705022664513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33868800, while the sum is 56.

The spelling of 744705022664513 in words is "seven hundred forty-four trillion, seven hundred five billion, twenty-two million, six hundred sixty-four thousand, five hundred thirteen".