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406042011649 is a prime number
BaseRepresentation
bin1011110100010011111…
…11010110100000000001
31102211001202200100211001
411322021333112200001
523123033223333044
6510311053252001
741223046103221
oct5721177264001
91384052610731
10406042011649
1114722414815a
126683a794001
132c39c326471
141591c7ca081
15a86707e2d4
hex5e89fd6801

406042011649 has 2 divisors, whose sum is σ = 406042011650. Its totient is φ = 406042011648.

The previous prime is 406042011619. The next prime is 406042011653. The reversal of 406042011649 is 946110240604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 345811035249 + 60230976400 = 588057^2 + 245420^2 .

It is a cyclic number.

It is not a de Polignac number, because 406042011649 - 237 = 268603058177 is a prime.

It is not a weakly prime, because it can be changed into another prime (406042011619) 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, 203021005824 + 203021005825.

It is an arithmetic number, because the mean of its divisors is an integer number (203021005825).

Almost surely, 2406042011649 is an apocalyptic number.

It is an amenable number.

406042011649 is a deficient number, since it is larger than the sum of its proper divisors (1).

406042011649 is an equidigital number, since it uses as much as digits as its factorization.

406042011649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 406042011649 in words is "four hundred six billion, forty-two million, eleven thousand, six hundred forty-nine".