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206710694688969 = 344329723832
BaseRepresentation
bin101111000000000010010101…
…100001110011100011001001
31000002220100102201121111110000
4233000002111201303203021
5204043222000320021334
62011345325430113213
761353232500105522
oct5700022541634311
91002810381544400
10206710694688969
115a956571240519
121b225b014ab809
138b45972675c23
143908bcb231849
1518d7045e61299
hexbc00958738c9

206710694688969 has 135 divisors (see below), whose sum is σ = 320267175338583. Its totient is φ = 132866841155328.

The previous prime is 206710694688929. The next prime is 206710694688983. The reversal of 206710694688969 is 969886496017602.

The square root of 206710694688969 is 14377437.

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

206710694688969 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 1 + 0 + 69 + 468 + 8 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92820988953225 + 113889705735744 = 9634365^2 + 10671912^2 .

It is not a de Polignac number, because 206710694688969 - 29 = 206710694688457 is a prime.

It is a super-2 number, since 2×2067106946889692 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (206710694688929) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 539714607352 + ... + 539714607734.

Almost surely, 2206710694688969 is an apocalyptic number.

206710694688969 is the 14377437-th square number.

206710694688969 is the 7188719-th centered octagonal number.

It is an amenable number.

206710694688969 is a deficient number, since it is larger than the sum of its proper divisors (113556480649614).

206710694688969 is an frugal number, since it uses more digits than its factorization.

206710694688969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

206710694688969 divided by its sum of digits (81) gives a square (2551983885049 = 15974932).

The spelling of 206710694688969 in words is "two hundred six trillion, seven hundred ten billion, six hundred ninety-four million, six hundred eighty-eight thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 43 81 97 129 291 383 387 873 1149 1161 1849 2619 3447 3483 4171 5547 7857 9409 10341 12513 16469 16641 28227 31023 37151 37539 49407 49923 84681 111453 112617 146689 148221 149769 179353 254043 334359 337851 404587 440067 444663 538059 708167 762129 1003077 1213761 1320201 1333989 1597493 1614177 2124501 3009231 3603647 3641283 3960603 4792479 4842531 6307627 6373503 10810941 10923849 11881809 14228833 14377437 14527593 17397241 18922881 19120509 32432823 32771547 42686499 43132311 52191723 56768643 57361527 68692199 97298469 128059497 129396933 154956821 156575169 170305929 206076597 271227961 291895407 384178491 464870463 469725507 510917787 611839819 618229791 813683883 1152535473 1380196801 1394611389 1409176521 1835519457 1854689373 2441051649 4140590403 4183834167 5506558371 5564068119 6663143303 7323154947 12421771209 12551502501 16519675113 19989429909 21969464841 26309112217 37265313627 49559025339 59348462443 59968289727 78927336651 111795940881 178045387329 179904869181 236782009953 534136161987 539714607543 710346029859 1602408485961 2131038089577 2551983885049 4807225457883 7655951655147 22967854965441 68903564896323 206710694688969