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320409768961 is a prime number
BaseRepresentation
bin1001010100110011110…
…10010001010000000001
31010122000220111201100001
410222121322101100001
520222144400101321
6403105541200001
732102024046052
oct4523172212001
91118026451301
10320409768961
11113980a63857
1252120700001
13242a3388489
1411717a12729
1585043bcc91
hex4a99e91401

320409768961 has 2 divisors, whose sum is σ = 320409768962. Its totient is φ = 320409768960.

The previous prime is 320409768949. The next prime is 320409769049. The reversal of 320409768961 is 169867904023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230616050625 + 89793718336 = 480225^2 + 299656^2 .

It is an emirp because it is prime and its reverse (169867904023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 320409768961 - 25 = 320409768929 is a prime.

It is not a weakly prime, because it can be changed into another prime (320409748961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160204884480 + 160204884481.

It is an arithmetic number, because the mean of its divisors is an integer number (160204884481).

Almost surely, 2320409768961 is an apocalyptic number.

It is an amenable number.

320409768961 is a deficient number, since it is larger than the sum of its proper divisors (1).

320409768961 is an equidigital number, since it uses as much as digits as its factorization.

320409768961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 320409768961 in words is "three hundred twenty billion, four hundred nine million, seven hundred sixty-eight thousand, nine hundred sixty-one".