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418068461 is a prime number
BaseRepresentation
bin11000111010110…
…011011111101101
31002010200002010002
4120322303133231
51324011142321
6105252354045
713234344326
oct3072633755
91063602102
10418068461
111a4a97028
12b8015925
13687c97b5
143d74944d
1526a8220b
hex18eb37ed

418068461 has 2 divisors, whose sum is σ = 418068462. Its totient is φ = 418068460.

The previous prime is 418068407. The next prime is 418068463. The reversal of 418068461 is 164860814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410832361 + 7236100 = 20269^2 + 2690^2 .

It is a cyclic number.

It is not a de Polignac number, because 418068461 - 214 = 418052077 is a prime.

It is a Sophie Germain prime.

Together with 418068463, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (418068463) 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, 209034230 + 209034231.

It is an arithmetic number, because the mean of its divisors is an integer number (209034231).

Almost surely, 2418068461 is an apocalyptic number.

It is an amenable number.

418068461 is a deficient number, since it is larger than the sum of its proper divisors (1).

418068461 is an equidigital number, since it uses as much as digits as its factorization.

418068461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 418068461 is about 20446.7225001955. The cubic root of 418068461 is about 747.7374545663.

The spelling of 418068461 in words is "four hundred eighteen million, sixty-eight thousand, four hundred sixty-one".