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206153685950809 = 19431212832
BaseRepresentation
bin101110110111111011100101…
…001110000110000101011001
31000000221002200211101211021211
4232313323211032012011121
5204010110222100411214
62010241410151503121
761265053343001352
oct5667734516060531
91000832624354254
10206153685950809
115a761318338293
121b155b70387aa1
138b052947130bc
1438c9c6a928d29
1518c77e54e50c4
hexbb7ee5386159

206153685950809 has 45 divisors (see below), whose sum is σ = 225027977312229. Its totient is φ = 188856065685960.

The previous prime is 206153685950767. The next prime is 206153685950833. The reversal of 206153685950809 is 908059586351602.

The square root of 206153685950809 is 14358053.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-206153685950809 is a prime.

It is a super-2 number, since 2×2061536859508092 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206153685950869) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 160680970482 + ... + 160680971764.

Almost surely, 2206153685950809 is an apocalyptic number.

206153685950809 is the 14358053-rd square number.

206153685950809 is the 7179027-th centered octagonal number.

It is an amenable number.

206153685950809 is a deficient number, since it is larger than the sum of its proper divisors (18874291361420).

206153685950809 is an frugal number, since it uses more digits than its factorization.

206153685950809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 67.

The spelling of 206153685950809 in words is "two hundred six trillion, one hundred fifty-three billion, six hundred eighty-five million, nine hundred fifty thousand, eight hundred nine".

Divisors: 1 19 31 361 589 961 1283 6859 11191 18259 24377 39773 130321 212629 346921 463163 755687 1232963 1646089 4039951 6591499 8800097 14358053 23426297 31275691 51028759 125238481 167201843 272803007 445099643 594238129 969546421 1581891529 5183257133 8456893217 11290524451 18421381999 30055939051 160680971123 214519964569 350006257981 571062841969 6650118901639 10850193997411 206153685950809