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12984385537 = 193293229613
BaseRepresentation
bin11000001011110111…
…00000000000000001
31020111220102010110001
430011323200000001
5203043000314122
65544232240001
7636523312264
oct140573400001
936456363401
1012984385537
115563390042
122624540001
1312bc095786
148b2662cdb
1550edba527
hex305ee0001

12984385537 has 8 divisors (see below), whose sum is σ = 13096264104. Its totient is φ = 12872967168.

The previous prime is 12984385517. The next prime is 12984385567. The reversal of 12984385537 is 73558348921.

It can be written as a sum of positive squares in 4 ways, for example, as 2277102961 + 10707282576 = 47719^2 + 103476^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12984385537 is a prime.

It is a super-3 number, since 3×129843855373 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12984385517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58258 + ... + 171355.

It is an arithmetic number, because the mean of its divisors is an integer number (1637033013).

It is a Proth number, since it is equal to 99063 ⋅ 217 + 1 and 99063 < 217.

Almost surely, 212984385537 is an apocalyptic number.

It is an amenable number.

12984385537 is a deficient number, since it is larger than the sum of its proper divisors (111878567).

12984385537 is a wasteful number, since it uses less digits than its factorization.

12984385537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230099.

The product of its digits is 7257600, while the sum is 55.

The spelling of 12984385537 in words is "twelve billion, nine hundred eighty-four million, three hundred eighty-five thousand, five hundred thirty-seven".

Divisors: 1 193 293 56549 229613 44315309 67276609 12984385537