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42577666009 is a prime number
BaseRepresentation
bin100111101001110100…
…111001111111011001
311001220022101112111221
4213221310321333121
51144144340303014
631320535052041
73035054122024
oct475164717731
9131808345457
1042577666009
1117069a8972a
128303211021
134027105918
1420bca781bb
151192e54b24
hex9e9d39fd9

42577666009 has 2 divisors, whose sum is σ = 42577666010. Its totient is φ = 42577666008.

The previous prime is 42577665943. The next prime is 42577666093. The reversal of 42577666009 is 90066677524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42375457609 + 202208400 = 205853^2 + 14220^2 .

It is a cyclic number.

It is not a de Polignac number, because 42577666009 - 233 = 33987731417 is a prime.

It is not a weakly prime, because it can be changed into another prime (42577666909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21288833004 + 21288833005.

It is an arithmetic number, because the mean of its divisors is an integer number (21288833005).

Almost surely, 242577666009 is an apocalyptic number.

It is an amenable number.

42577666009 is a deficient number, since it is larger than the sum of its proper divisors (1).

42577666009 is an equidigital number, since it uses as much as digits as its factorization.

42577666009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 42577666009 in words is "forty-two billion, five hundred seventy-seven million, six hundred sixty-six thousand, nine".