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56812722721865 = 5112696611348033
BaseRepresentation
bin11001110101011101111100…
…01010000001010001001001
321110011020120022212210101122
430322232332022001101021
524421304424004044430
6320455223212525025
714652404142166025
oct1472567612012111
9243136508783348
1056812722721865
111711415a965500
126456829a80775
13259155582a616
141005a7134b385
15687c68d19ee5
hex33abbe281449

56812722721865 has 24 divisors (see below), whose sum is σ = 74937582117384. Its totient is φ = 41317720012800.

The previous prime is 56812722721841. The next prime is 56812722721889.

56812722721865 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56812722721841) and next prime (56812722721889).

It can be written as a sum of positive squares in 4 ways, for example, as 300096891721 + 56512625830144 = 547811^2 + 7517488^2 .

It is not a de Polignac number, because 56812722721865 - 26 = 56812722721801 is a prime.

It is a super-3 number, since 3×568127227218653 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56812722721798 and 56812722721807.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41470889 + ... + 42818921.

It is an arithmetic number, because the mean of its divisors is an integer number (3122399254891).

Almost surely, 256812722721865 is an apocalyptic number.

56812722721865 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56812722721865 is a deficient number, since it is larger than the sum of its proper divisors (18124859395519).

56812722721865 is a wasteful number, since it uses less digits than its factorization.

56812722721865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417721 (or 1417710 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 62.

The spelling of 56812722721865 in words is "fifty-six trillion, eight hundred twelve billion, seven hundred twenty-two million, seven hundred twenty-one thousand, eight hundred sixty-five".

Divisors: 1 5 11 55 121 605 69661 348305 766271 1348033 3831355 6740165 8428981 14828363 42144905 74141815 163111993 815559965 93905326813 469526634065 1032958594943 5164792974715 11362544544373 56812722721865