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417127490893 = 177124867469
BaseRepresentation
bin1100001000111101011…
…11000110010101001101
31110212200022222001112101
412010132233012111031
523313234114202033
6515343053435101
742064544112541
oct6043657062515
91425608861471
10417127490893
111509a2659853
1268a1319ba91
1330447b7c139
1416290b8ba21
15acb53a597d
hex611ebc654d

417127490893 has 12 divisors (see below), whose sum is σ = 447972733980. Its totient is φ = 387061055360.

The previous prime is 417127490863. The next prime is 417127490947. The reversal of 417127490893 is 398094721714.

It can be written as a sum of positive squares in 2 ways, for example, as 269150327209 + 147977163684 = 518797^2 + 384678^2 .

It is not a de Polignac number, because 417127490893 - 213 = 417127482701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417127490863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2348038 + ... + 2519431.

It is an arithmetic number, because the mean of its divisors is an integer number (37331061165).

Almost surely, 2417127490893 is an apocalyptic number.

It is an amenable number.

417127490893 is a deficient number, since it is larger than the sum of its proper divisors (30845243087).

417127490893 is an equidigital number, since it uses as much as digits as its factorization.

417127490893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867628 (or 4867557 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 417127490893 in words is "four hundred seventeen billion, one hundred twenty-seven million, four hundred ninety thousand, eight hundred ninety-three".

Divisors: 1 17 71 1207 5041 85697 4867469 82746973 345590299 5875035083 24536911229 417127490893