Search a number
-
+
52653260213301 = 311234113195313553
BaseRepresentation
bin10111111100011010010101…
…10111110000110000110101
320220102121021020100100002210
423332031022313300300311
523400132334103311201
6303552323535524033
714043033605213046
oct1376151267606065
9226377236310083
1052653260213301
11158601387a4a80
125aa467a389619
13234c247c46157
14d00607a4c8cd
156149736941d6
hex2fe34adf0c35

52653260213301 has 128 divisors (see below), whose sum is σ = 82583171371008. Its totient is φ = 29518641152000.

The previous prime is 52653260213291. The next prime is 52653260213317. The reversal of 52653260213301 is 10331206235625.

It is not a de Polignac number, because 52653260213301 - 210 = 52653260212277 is a prime.

It is a super-2 number, since 2×526532602133012 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52653260213301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52653260213501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3884982541 + ... + 3884996093.

It is an arithmetic number, because the mean of its divisors is an integer number (645181026336).

Almost surely, 252653260213301 is an apocalyptic number.

It is an amenable number.

52653260213301 is a deficient number, since it is larger than the sum of its proper divisors (29929911157707).

52653260213301 is a wasteful number, since it uses less digits than its factorization.

52653260213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715.

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 52653260213301 its reverse (10331206235625), we get a palindrome (62984466448926).

The spelling of 52653260213301 in words is "fifty-two trillion, six hundred fifty-three billion, two hundred sixty million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 11 23 33 41 69 123 131 253 393 451 759 943 953 1353 1441 2829 2859 3013 4323 5371 9039 10373 10483 13553 16113 21919 31119 31449 33143 39073 40659 59081 65757 99429 117219 123533 124843 149083 177243 241109 311719 370599 374529 429803 447249 555673 723327 898679 935157 1289409 1358863 1373273 1667019 1775443 2696037 2871389 3428909 4076589 4119819 5118563 5326329 6112403 8614167 9885469 10286727 12780479 12916009 15355689 18337209 19529873 29656407 31585279 38341437 38748027 40835189 56304193 58589619 72793163 94755837 117726949 122505567 140585269 142076099 168912579 218379489 297068207 353180847 421755807 426228297 449187079 529556369 800724793 891204621 1294996439 1347561237 1588669107 1674242749 1691997179 2402174379 3267750277 3884989317 5022728247 5075991537 5825120059 9803250831 12179796487 17475360177 18416670239 18611968969 36539389461 38915935117 55250010717 55835906907 69371884339 116747805351 133977761357 208115653017 401933284071 428075286287 763090727729 1284225858861 1595553339797 2289272183187 4786660019391 17551086737767 52653260213301