Search a number
-
+
22277311071649 is a prime number
BaseRepresentation
bin1010001000010110101110…
…01101101000010110100001
32220212200122010000101212021
411010023113031220112201
510404442413113243044
6115214015545501441
74456324351524214
oct504132715502641
986780563011767
1022277311071649
117109833371467
1225b95aa4a1881
13c57983b90bca
145703287b777b
1528973d6abe84
hex1442d73685a1

22277311071649 has 2 divisors, whose sum is σ = 22277311071650. Its totient is φ = 22277311071648.

The previous prime is 22277311071647. The next prime is 22277311071677. The reversal of 22277311071649 is 94617011377222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22208297154624 + 69013917025 = 4712568^2 + 262705^2 .

It is a cyclic number.

It is not a de Polignac number, because 22277311071649 - 21 = 22277311071647 is a prime.

Together with 22277311071647, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22277311071596 and 22277311071605.

It is not a weakly prime, because it can be changed into another prime (22277311071647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11138655535824 + 11138655535825.

It is an arithmetic number, because the mean of its divisors is an integer number (11138655535825).

Almost surely, 222277311071649 is an apocalyptic number.

It is an amenable number.

22277311071649 is a deficient number, since it is larger than the sum of its proper divisors (1).

22277311071649 is an equidigital number, since it uses as much as digits as its factorization.

22277311071649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 22277311071649 in words is "twenty-two trillion, two hundred seventy-seven billion, three hundred eleven million, seventy-one thousand, six hundred forty-nine".