Search a number
-
+
2827778080801 is a prime number
BaseRepresentation
bin101001001001100100101…
…101010100000000100001
3101000022222201100022012011
4221021210231110000201
5332312242142041201
610003021402032521
7411204656045302
oct51114455240041
911008881308164
102827778080801
119a0288008853
123980611a8741
1317687346b63b
149ac181187a9
154d854cec151
hex29264b54021

2827778080801 has 2 divisors, whose sum is σ = 2827778080802. Its totient is φ = 2827778080800.

The previous prime is 2827778080759. The next prime is 2827778080811. The reversal of 2827778080801 is 1080808777282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2358620208400 + 469157872401 = 1535780^2 + 684951^2 .

It is a cyclic number.

It is not a de Polignac number, because 2827778080801 - 211 = 2827778078753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2827778080811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1413889040400 + 1413889040401.

It is an arithmetic number, because the mean of its divisors is an integer number (1413889040401).

Almost surely, 22827778080801 is an apocalyptic number.

It is an amenable number.

2827778080801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2827778080801 is an equidigital number, since it uses as much as digits as its factorization.

2827778080801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5619712, while the sum is 58.

The spelling of 2827778080801 in words is "two trillion, eight hundred twenty-seven billion, seven hundred seventy-eight million, eighty thousand, eight hundred one".