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5686818921 = 3874192
BaseRepresentation
bin1010100101111010…
…11111100001101001
3112200022202100000000
411102331133201221
543121311201141
62340144133213
7260632110000
oct52275374151
915608670000
105686818921
112459074253
121128607209
136c8234514
143bd3a7c37
152343c35b6
hex152f5f869

5686818921 has 135 divisors (see below), whose sum is σ = 10502128221. Its totient is φ = 3078578664.

The previous prime is 5686818913. The next prime is 5686818947. The reversal of 5686818921 is 1298186865.

It is a happy number.

The square root of 5686818921 is 75411.

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

5686818921 is a `hidden beast` number, since 568 + 68 + 18 + 9 + 2 + 1 = 666.

It is not a de Polignac number, because 5686818921 - 23 = 5686818913 is a prime.

Its product of digits (1658880) is a multiple of the sum of its prime factors (90).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5686816921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 299306250 + ... + 299306268.

Almost surely, 25686818921 is an apocalyptic number.

5686818921 is the 75411-st square number.

5686818921 is the 37706-th centered octagonal number.

It is an amenable number.

5686818921 is a deficient number, since it is larger than the sum of its proper divisors (4815309300).

5686818921 is an frugal number, since it uses more digits than its factorization.

5686818921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The cubic root of 5686818921 is about 1784.9379909255.

The spelling of 5686818921 in words is "five billion, six hundred eighty-six million, eight hundred eighteen thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 81 133 147 171 189 243 343 361 399 441 513 567 729 931 1029 1083 1197 1323 1539 1701 2187 2401 2527 2793 3087 3249 3591 3969 4617 5103 6517 6561 7203 7581 8379 9261 9747 10773 11907 13851 15309 17689 19551 21609 22743 25137 27783 29241 32319 35721 41553 45619 45927 53067 58653 64827 68229 75411 83349 87723 96957 107163 123823 124659 136857 159201 175959 194481 204687 226233 250047 263169 290871 321489 371469 410571 477603 527877 583443 614061 678699 750141 789507 866761 872613 1114407 1231713 1432809 1583631 1750329 1842183 2036097 2250423 2368521 2600283 3343221 3695139 4298427 4750893 5250987 5526549 6108291 7800849 10029663 11085417 12895281 14252679 15752961 16579647 23402547 30088989 33256251 38685843 42758037 70207641 90266967 99768753 116057529 210622923 270800901 299306259 631868769 812402703 1895606307 5686818921