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56865466456865 = 511291011492698807
BaseRepresentation
bin11001110111000000001011…
…11011011001101100100001
321110100021201010112010212022
430323200011323121230201
524423140433403104430
6320535345030111225
714656252161430133
oct1473400573315441
9243307633463768
1056865466456865
1117134566376240
126464aa97ab515
13259650cb57681
141008436217053
156893044d34e5
hex33b805ed9b21

56865466456865 has 128 divisors (see below), whose sum is σ = 78593431680000. Its totient is φ = 39119492608000.

The previous prime is 56865466456823. The next prime is 56865466456867.

56865466456865 is nontrivially palindromic in base 10.

56865466456865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56865466456865 - 230 = 56864392715041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56865466456865.

It is not an unprimeable number, because it can be changed into a prime (56865466456867) 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 127 ways as a sum of consecutive naturals, for example, 6456844292 + ... + 6456853098.

It is an arithmetic number, because the mean of its divisors is an integer number (614011185000).

Almost surely, 256865466456865 is an apocalyptic number.

56865466456865 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56865466456865 is a deficient number, since it is larger than the sum of its proper divisors (21727965223135).

56865466456865 is a wasteful number, since it uses less digits than its factorization.

56865466456865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371.

The product of its digits is 29859840000, while the sum is 80.

The spelling of 56865466456865 in words is "fifty-six trillion, eight hundred sixty-five billion, four hundred sixty-six million, four hundred fifty-six thousand, eight hundred sixty-five".

Divisors: 1 5 11 29 55 101 145 149 269 319 505 745 1111 1345 1595 1639 2929 2959 4321 5555 7801 8195 8807 14645 14795 15049 21605 27169 32219 39005 40081 44035 47531 75245 85811 96877 135845 161095 165539 200405 237655 255403 298859 429055 436421 440891 484385 787901 827695 889507 1162349 1277015 1312243 1494295 2182105 2204455 2369083 2809433 3939505 4048181 4447535 4800631 5811745 6561215 8666911 9784577 11845415 12785839 14047165 14434673 20240905 24003155 25795703 26059913 38055047 43334555 44529991 48922885 63929195 68703407 72173365 117397249 128978515 130299565 132536543 190275235 222649955 239277383 283752733 343517035 352993367 418605517 586986245 662682715 755737477 1196386915 1291369739 1418763665 1457901973 1764966835 2093027585 2632051213 3778687385 3843559747 3882927037 6456848695 6939044107 7289509865 10236807643 13160256065 19217798735 19414635185 34695220535 35652330067 42279157217 51184038215 76329485177 112604884073 178261650335 211395786085 381647425885 392175630737 563024420365 1033917571943 1960878153685 5169587859715 11373093291373 56865466456865