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56551599515565 = 32571116320807941
BaseRepresentation
bin11001101101110111100100…
…00000000010011110101101
321102020021120012111111202200
430312323302000002132231
524403020133433444230
6320135240212212113
714624501232436260
oct1466736200023655
9242207505444680
1056551599515565
11170234426a1780
1264140b430a039
132572a4016696b
14dd717d556cd7
15681084726160
hex336ef20027ad

56551599515565 has 48 divisors (see below), whose sum is σ = 122210209869696. Its totient is φ = 23501963433600.

The previous prime is 56551599515563. The next prime is 56551599515599.

56551599515565 is a `hidden beast` number, since 5 + 6 + 5 + 5 + 1 + 5 + 9 + 9 + 51 + 5 + 565 = 666.

56551599515565 is nontrivially palindromic in base 10.

56551599515565 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 56551599515565 - 21 = 56551599515563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56551599515493 and 56551599515502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56551599515563) 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 47 ways as a sum of consecutive naturals, for example, 8160400506 + ... + 8160407435.

It is an arithmetic number, because the mean of its divisors is an integer number (2546046038952).

Almost surely, 256551599515565 is an apocalyptic number.

56551599515565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56551599515565 is an abundant number, since it is smaller than the sum of its proper divisors (65658610354131).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56551599515565 is a wasteful number, since it uses less digits than its factorization.

56551599515565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320807970 (or 16320807967 counting only the distinct ones).

The product of its digits is 1139062500, while the sum is 72.

The spelling of 56551599515565 in words is "fifty-six trillion, five hundred fifty-one billion, five hundred ninety-nine million, five hundred fifteen thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 16320807941 48962423823 81604039705 114245655587 146887271469 179528887351 244812119115 342736966761 538586662053 571228277935 734436357345 897644436755 1028210900283 1256702211457 1615759986159 1713684833805 2692933310265 3770106634371 5141054501415 6283511057285 8078799930795 11310319903113 18850533171855 56551599515565