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417057406019 is a prime number
BaseRepresentation
bin1100001000110101000…
…11101111110001000011
31110212111110002101011022
412010122203233301003
523313113143443034
6515332111340055
742063033313502
oct6043243576103
91425443071138
10417057406019
1115096703aa71
12689b382162b
13304364b0ab7
1416285746839
15acae15eb2e
hex611a8efc43

417057406019 has 2 divisors, whose sum is σ = 417057406020. Its totient is φ = 417057406018.

The previous prime is 417057405977. The next prime is 417057406061. The reversal of 417057406019 is 910604750714.

It is a balanced prime because it is at equal distance from previous prime (417057405977) and next prime (417057406061).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-417057406019 is a prime.

It is a super-2 number, since 2×4170574060192 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (417057406919) 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, 208528703009 + 208528703010.

It is an arithmetic number, because the mean of its divisors is an integer number (208528703010).

Almost surely, 2417057406019 is an apocalyptic number.

417057406019 is a deficient number, since it is larger than the sum of its proper divisors (1).

417057406019 is an equidigital number, since it uses as much as digits as its factorization.

417057406019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 417057406019 in words is "four hundred seventeen billion, fifty-seven million, four hundred six thousand, nineteen".