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56386849218777 = 32721126117323037
BaseRepresentation
bin11001101001000100101100…
…00111100010000011011001
321101122112022110202021121200
430310202112013202003121
524342320231400000102
6315531432205424413
714606546455143300
oct1464422607420331
9241575273667550
1056386849218777
1116a6a58a422300
1263a819586b109
132560345a08a4c
14dcd1d0bc1437
1567bb40c0851c
hex3348961e20d9

56386849218777 has 108 divisors (see below), whose sum is σ = 105848716568868. Its totient is φ = 28811673475200.

The previous prime is 56386849218727. The next prime is 56386849218779. The reversal of 56386849218777 is 77781294868365.

56386849218777 is a `hidden beast` number, since 5 + 6 + 386 + 8 + 4 + 92 + 1 + 87 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22900014876816 + 33486834341961 = 4785396^2 + 5786781^2 .

It is not a de Polignac number, because 56386849218777 - 222 = 56386845024473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56386849218696 and 56386849218705.

It is not an unprimeable number, because it can be changed into a prime (56386849218779) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5406498 + ... + 11916539.

It is an arithmetic number, because the mean of its divisors is an integer number (980080708971).

Almost surely, 256386849218777 is an apocalyptic number.

It is an amenable number.

56386849218777 is a deficient number, since it is larger than the sum of its proper divisors (49461867350091).

56386849218777 is a wasteful number, since it uses less digits than its factorization.

56386849218777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17323140 (or 17323119 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 56386849218777 in words is "fifty-six trillion, three hundred eighty-six billion, eight hundred forty-nine million, two hundred eighteen thousand, seven hundred seventy-seven".

Divisors: 1 3 7 9 11 21 33 49 61 63 77 99 121 147 183 231 363 427 441 539 549 671 693 847 1089 1281 1617 2013 2541 2989 3843 4697 4851 5929 6039 7381 7623 8967 14091 17787 22143 26901 32879 42273 51667 53361 66429 98637 155001 295911 361669 465003 1085007 3255021 17323037 51969111 121261259 155907333 190553407 363783777 571660221 848828813 1056705257 1091351331 1333873849 1714980663 2096087477 2546486439 3170115771 4001621547 6288262431 7396936799 7639459317 9337116943 9510347313 11623757827 12004864641 14672612339 18864787293 22190810397 28011350829 34871273481 44017837017 51778557593 66572431191 81366304789 84034052487 102708286373 104613820443 127861336097 132053511051 155335672779 244098914367 308124859119 383584008291 466007018337 569564133523 732296743101 895029352679 924374577357 1150752024873 1708692400569 2685088058037 5126077201707 6265205468753 8055264174111 18795616406259 56386849218777