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23077404808657 is a prime number
BaseRepresentation
bin1010011111101001000001…
…00001000001010111010001
310000201011211000112110211221
411033310200201001113101
511011100011112334112
6121025340255205041
74601200414215043
oct517644041012721
9100634730473757
1023077404808657
11739808842a161
122708680216781
13cb526139a464
1459ad4937da93
152a0469d17e07
hex14fd208415d1

23077404808657 has 2 divisors, whose sum is σ = 23077404808658. Its totient is φ = 23077404808656.

The previous prime is 23077404808643. The next prime is 23077404808663. The reversal of 23077404808657 is 75680840477032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15711956196561 + 7365448612096 = 3963831^2 + 2713936^2 .

It is a cyclic number.

It is not a de Polignac number, because 23077404808657 - 211 = 23077404806609 is a prime.

It is a super-2 number, since 2×230774048086572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23077404808595 and 23077404808604.

It is not a weakly prime, because it can be changed into another prime (23077404802657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11538702404328 + 11538702404329.

It is an arithmetic number, because the mean of its divisors is an integer number (11538702404329).

Almost surely, 223077404808657 is an apocalyptic number.

It is an amenable number.

23077404808657 is a deficient number, since it is larger than the sum of its proper divisors (1).

23077404808657 is an equidigital number, since it uses as much as digits as its factorization.

23077404808657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63221760, while the sum is 61.

The spelling of 23077404808657 in words is "twenty-three trillion, seventy-seven billion, four hundred four million, eight hundred eight thousand, six hundred fifty-seven".