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12653405521 = 37279711597
BaseRepresentation
bin10111100100011001…
…11010010101010001
31012122211121121012221
423302030322111101
5201403232434041
65451330221041
7625364113051
oct136214722521
935584547187
1012653405521
115403576939
122551724781
13126863b903
14880707561
154e0cdc2d1
hex2f233a551

12653405521 has 12 divisors (see below), whose sum is σ = 13022072028. Its totient is φ = 12294914112.

The previous prime is 12653405519. The next prime is 12653405551. The reversal of 12653405521 is 12550435621.

12653405521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4792100625 + 7861304896 = 69225^2 + 88664^2 .

It is not a de Polignac number, because 12653405521 - 21 = 12653405519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12653405551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1085295 + ... + 1096891.

It is an arithmetic number, because the mean of its divisors is an integer number (1085172669).

Almost surely, 212653405521 is an apocalyptic number.

It is an amenable number.

12653405521 is a deficient number, since it is larger than the sum of its proper divisors (368666507).

12653405521 is an equidigital number, since it uses as much as digits as its factorization.

12653405521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12468 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 12653405521 in words is "twelve billion, six hundred fifty-three million, four hundred five thousand, five hundred twenty-one".

Divisors: 1 37 797 1369 11597 29489 429089 1091093 9242809 15876293 341983933 12653405521