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413033427017 is a prime number
BaseRepresentation
bin1100000001010101011…
…01011111000001001001
31110111010000021001200222
412000222231133001021
523231343024131032
6513424523435425
741561232126341
oct6005255370111
91414100231628
10413033427017
1114a191668a92
1268070085b75
132cc44914b33
1415dc314dd21
15ab25c4ea12
hex602ab5f049

413033427017 has 2 divisors, whose sum is σ = 413033427018. Its totient is φ = 413033427016.

The previous prime is 413033427013. The next prime is 413033427029. The reversal of 413033427017 is 710724330314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333109048336 + 79924378681 = 577156^2 + 282709^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033427017 - 22 = 413033427013 is a prime.

It is a super-2 number, since 2×4130334270172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413033427013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206516713508 + 206516713509.

It is an arithmetic number, because the mean of its divisors is an integer number (206516713509).

Almost surely, 2413033427017 is an apocalyptic number.

It is an amenable number.

413033427017 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033427017 is an equidigital number, since it uses as much as digits as its factorization.

413033427017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 413033427017 in words is "four hundred thirteen billion, thirty-three million, four hundred twenty-seven thousand, seventeen".