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206532223366656 = 293111033732853
BaseRepresentation
bin101110111101011100000111…
…110011101111011000000000
31000002021021202202022221202110
4232331130013303233120000
5204032310443140213111
62011131332114215320
761334314012643625
oct5675340763573000
91002237682287673
10206532223366656
115a897907896530
121b1b73b3884540
138b31b9c654ab5
1439002da48234c
1518d259ca695a6
hexbbd707cef600

206532223366656 has 480 divisors, whose sum is σ = 608403394190592. Its totient is φ = 61739271290880.

The previous prime is 206532223366631. The next prime is 206532223366657. The reversal of 206532223366656 is 656663322235602.

It is a junction number, because it is equal to n+sod(n) for n = 206532223366596 and 206532223366605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206532223366657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242124528726 + ... + 242124529578.

Almost surely, 2206532223366656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206532223366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304201697095296).

206532223366656 is an abundant number, since it is smaller than the sum of its proper divisors (401871170823936).

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

206532223366656 is an equidigital number, since it uses as much as digits as its factorization.

206532223366656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 57.

The spelling of 206532223366656 in words is "two hundred six trillion, five hundred thirty-two billion, two hundred twenty-three million, three hundred sixty-six thousand, six hundred fifty-six".