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416424221055 = 32517599226193
BaseRepresentation
bin1100000111101001101…
…00010101100101111111
31110210212022122020200100
412003310310111211333
523310314100033210
6515145212132143
742041244322263
oct6036464254577
91423768566610
10416424221055
11150671686807
1268857767053
133036526663b
14162256020a3
15ac737895c0
hex60f4d1597f

416424221055 has 48 divisors (see below), whose sum is σ = 777214582560. Its totient is φ = 205485748224.

The previous prime is 416424221039. The next prime is 416424221107. The reversal of 416424221055 is 550122424614.

416424221055 is a `hidden beast` number, since 4 + 1 + 6 + 424 + 221 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 416424221055 - 24 = 416424221039 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4567962 + ... + 4658231.

It is an arithmetic number, because the mean of its divisors is an integer number (16191970470).

Almost surely, 2416424221055 is an apocalyptic number.

416424221055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

416424221055 is a deficient number, since it is larger than the sum of its proper divisors (360790361505).

416424221055 is a wasteful number, since it uses less digits than its factorization.

416424221055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226280 (or 9226277 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 416424221055 its reverse (550122424614), we get a palindrome (966546645669).

The spelling of 416424221055 in words is "four hundred sixteen billion, four hundred twenty-four million, two hundred twenty-one thousand, fifty-five".

Divisors: 1 3 5 9 15 17 45 51 59 85 153 177 255 295 531 765 885 1003 2655 3009 5015 9027 15045 45135 9226193 27678579 46130965 83035737 138392895 156845281 415178685 470535843 544345387 784226405 1411607529 1633036161 2352679215 2721726935 4899108483 7058037645 8165180805 9253871579 24495542415 27761614737 46269357895 83284844211 138808073685 416424221055