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206353606056 = 233133767266797
BaseRepresentation
bin1100000000101110100…
…0100010010110101000
3201201122010201022111020
43000023220202112220
511340103010343211
6234444133532440
720623430465553
oct3001350422650
9651563638436
10206353606056
117a57225a4a4
1233bab4a4120
13165c77345a0
149db7c5969a
15557b159306
hex300ba225a8

206353606056 has 128 divisors (see below), whose sum is σ = 579101066880. Its totient is φ = 60855100416.

The previous prime is 206353606049. The next prime is 206353606097. The reversal of 206353606056 is 650606353602.

206353606056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206353605999 and 206353606017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640050 + ... + 906846.

It is an arithmetic number, because the mean of its divisors is an integer number (4524227085).

Almost surely, 2206353606056 is an apocalyptic number.

206353606056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206353606056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289550533440).

206353606056 is an abundant number, since it is smaller than the sum of its proper divisors (372747460824).

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

206353606056 is a wasteful number, since it uses less digits than its factorization.

206353606056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266923 (or 266919 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

Adding to 206353606056 its reverse (650606353602), we get a palindrome (856959959658).

The spelling of 206353606056 in words is "two hundred six billion, three hundred fifty-three million, six hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 67 74 78 104 111 134 148 156 201 222 268 296 312 402 444 481 536 804 871 888 962 1443 1608 1742 1924 2479 2613 2886 3484 3848 4958 5226 5772 6968 7437 9916 10452 11544 14874 19832 20904 29748 32227 59496 64454 96681 128908 193362 257816 266797 386724 533594 773448 800391 1067188 1600782 2134376 3201564 3468361 6403128 6936722 9871489 10405083 13873444 17875399 19742978 20810166 27746888 29614467 35750798 39485956 41620332 53626197 59228934 71501596 78971912 83240664 107252394 118457868 128329357 143003192 214504788 232380187 236915736 256658714 384988071 429009576 464760374 513317428 661389763 697140561 769976142 929520748 1026634856 1322779526 1394281122 1539952284 1859041496 1984169289 2645559052 2788562244 3079904568 3968338578 5291118104 5577124488 7936677156 8598066919 15873354312 17196133838 25794200757 34392267676 51588401514 68784535352 103176803028 206353606056