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416374641781 = 7240920776141
BaseRepresentation
bin1100000111100011101…
…11001101010001110101
31110210201212100100200221
412003301313031101311
523310213402014111
6515140241334341
742040103026300
oct6036167152165
91423655310627
10416374641781
111506466a30aa
12688430373b1
1330357bc78a7
141621cbb7b37
15ac6e244371
hex60f1dcd475

416374641781 has 12 divisors (see below), whose sum is σ = 485538438540. Its totient is φ = 356019935040.

The previous prime is 416374641733. The next prime is 416374641869. The reversal of 416374641781 is 187146473614.

It can be written as a sum of positive squares in 2 ways, for example, as 321790714756 + 94583927025 = 567266^2 + 307545^2 .

It is not a de Polignac number, because 416374641781 - 231 = 414227158133 is a prime.

It is a super-2 number, since 2×4163746417812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416374642781) 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, 10368030 + ... + 10408111.

It is an arithmetic number, because the mean of its divisors is an integer number (40461536545).

Almost surely, 2416374641781 is an apocalyptic number.

It is an amenable number.

416374641781 is a deficient number, since it is larger than the sum of its proper divisors (69163796759).

416374641781 is a wasteful number, since it uses less digits than its factorization.

416374641781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776564 (or 20776557 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 52.

The spelling of 416374641781 in words is "four hundred sixteen billion, three hundred seventy-four million, six hundred forty-one thousand, seven hundred eighty-one".

Divisors: 1 7 49 409 2863 20041 20776141 145432987 1018030909 8497441669 59482091683 416374641781