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676083129705 = 3451798196533
BaseRepresentation
bin10011101011010011011…
…00011101110101101001
32101122002101200111120000
421311221230131311221
542034104240122310
61234331023453213
766562653532464
oct11655154356551
92348071614500
10676083129705
112407a8334a95
12ab042a57209
134b9a6458699
1424a18b482db
15128be5374c0
hex9d69b1dd69

676083129705 has 40 divisors (see below), whose sum is σ = 1283232306312. Its totient is φ = 339367214592.

The previous prime is 676083129697. The next prime is 676083129707. The reversal of 676083129705 is 507921380676.

676083129705 is a `hidden beast` number, since 6 + 7 + 608 + 3 + 1 + 29 + 7 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324486311769 + 351596817936 = 569637^2 + 592956^2 .

It is not a de Polignac number, because 676083129705 - 23 = 676083129697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (676083129707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49091382 + ... + 49105151.

Almost surely, 2676083129705 is an apocalyptic number.

It is an amenable number.

676083129705 is a deficient number, since it is larger than the sum of its proper divisors (607149176607).

676083129705 is a wasteful number, since it uses less digits than its factorization.

676083129705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98196567 (or 98196558 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 676083129705 in words is "six hundred seventy-six billion, eighty-three million, one hundred twenty-nine thousand, seven hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 98196533 294589599 490982665 883768797 1472947995 1669341061 2651306391 4418843985 5008023183 7953919173 8346705305 13256531955 15024069549 25040115915 39769595865 45072208647 75120347745 135216625941 225361043235 676083129705