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12053416563 = 321917011877
BaseRepresentation
bin10110011100111000…
…01000101001110011
31011010000122000002200
423032130020221303
5144141133312223
65312014314243
7604460231106
oct131634105163
934100560080
1012053416563
1151259262a1
1224047b8983
1311a1248066
14824b6473d
154a82c2a43
hex2ce708a73

12053416563 has 12 divisors (see below), whose sum is σ = 17501647488. Its totient is φ = 7993538640.

The previous prime is 12053416541. The next prime is 12053416579. The reversal of 12053416563 is 36561435021.

12053416563 is a `hidden beast` number, since 1 + 2 + 0 + 53 + 41 + 6 + 563 = 666.

12053416563 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 12053416563 - 28 = 12053416307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12053416523) 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, 3504220 + ... + 3507657.

It is an arithmetic number, because the mean of its divisors is an integer number (1458470624).

Almost surely, 212053416563 is an apocalyptic number.

12053416563 is a deficient number, since it is larger than the sum of its proper divisors (5448230925).

12053416563 is a wasteful number, since it uses less digits than its factorization.

12053416563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012074 (or 7012071 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12053416563 in words is "twelve billion, fifty-three million, four hundred sixteen thousand, five hundred sixty-three".

Divisors: 1 3 9 191 573 1719 7011877 21035631 63106893 1339268507 4017805521 12053416563