Search a number
-
+
20979758709 = 32721367193283
BaseRepresentation
bin10011100010011111…
…011011011001110101
32000011010010011112100
4103202133123121311
5320431304234314
613345445012313
71341620002200
oct234237333165
960133104470
1020979758709
118996588268
1240960b4099
131c94678910
141030484937
1582bc9ec09
hex4e27db675

20979758709 has 144 divisors (see below), whose sum is σ = 38866481472. Its totient is φ = 10806276096.

The previous prime is 20979758707. The next prime is 20979758711. The reversal of 20979758709 is 90785797902.

It is an interprime number because it is at equal distance from previous prime (20979758707) and next prime (20979758711).

It is not a de Polignac number, because 20979758709 - 21 = 20979758707 is a prime.

It is a super-2 number, since 2×209797587092 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20979758707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74133282 + ... + 74133564.

Almost surely, 220979758709 is an apocalyptic number.

It is an amenable number.

20979758709 is a deficient number, since it is larger than the sum of its proper divisors (17886722763).

20979758709 is a wasteful number, since it uses less digits than its factorization.

20979758709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 20979758709 in words is "twenty billion, nine hundred seventy-nine million, seven hundred fifty-eight thousand, seven hundred nine".

Divisors: 1 3 7 9 13 21 39 49 63 67 91 117 147 193 201 273 283 441 469 579 603 637 819 849 871 1351 1407 1737 1911 1981 2509 2547 2613 3283 3679 4053 4221 5733 5943 6097 7527 7839 9457 9849 11037 12159 12931 13867 17563 17829 18291 18961 22581 25753 28371 29547 33111 38793 41601 42679 52689 54619 54873 56883 77259 85113 90517 116379 122941 124803 128037 132727 158067 163857 168103 170649 180271 231777 246493 271551 368823 382333 384111 398181 491571 504309 540813 633619 710047 739479 814653 929089 1106469 1146999 1176721 1194543 1512927 1622439 1725451 1900857 2130141 2218437 2676331 2787267 3440997 3530163 3659473 4970329 5176353 5702571 6390423 8028993 8237047 8361801 10590489 10978419 12078157 14910987 15529059 24086979 24711141 25616311 32935257 34792303 36234471 44732961 47573149 74133423 76848933 104376909 108703413 142719447 179314177 230546799 313130727 333012043 428158341 537942531 999036129 1613827593 2331084301 2997108387 6993252903 20979758709