Search a number
-
+
20301905356668 = 223213431587763541
BaseRepresentation
bin1001001110110111001111…
…10110110110011101111100
32122212211202200122200101100
410213123213312312131330
510130111300232403133
6111102322213413100
74163523066144045
oct447334766663574
978784680580340
1020301905356668
116517a98338a71
12233a78b03a190
13b435ccaa0410
1450289045d8cc
1525317495ee13
hex1276e7db677c

20301905356668 has 144 divisors (see below), whose sum is σ = 56556012569056. Its totient is φ = 6100986769920.

The previous prime is 20301905356619. The next prime is 20301905356679. The reversal of 20301905356668 is 86665350910302.

It is a happy number.

It is a super-2 number, since 2×203019053566682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319476978 + ... + 319540518.

Almost surely, 220301905356668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301905356668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28278006284528).

20301905356668 is an abundant number, since it is smaller than the sum of its proper divisors (36254107212388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20301905356668 is a wasteful number, since it uses less digits than its factorization.

20301905356668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79484 (or 79479 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 20301905356668 in words is "twenty trillion, three hundred one billion, nine hundred five million, three hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 10062 15877 20124 31754 47631 63508 63541 95262 127082 142893 190524 190623 206401 254164 285786 381246 412802 571572 571869 619203 682711 762492 825604 826033 1143738 1238406 1365422 1652066 1857609 2048133 2287476 2476812 2478099 2730844 2732263 3304132 3715218 4096266 4956198 5464526 6144399 7430436 7434297 8192532 8196789 8875243 9912396 10929052 12288798 14868594 16393578 17750486 24577596 24590367 26625729 29737188 32787156 35500972 35519419 49180734 53251458 71038838 79877187 98361468 106502916 106558257 142077676 159754374 213116514 319508748 319674771 426233028 639349542 1008840457 1278699084 2017680914 3026521371 4035361828 6053042742 9079564113 12106085484 13114925941 18159128226 26229851882 36318256452 39344777823 43380139651 52459703764 78689555646 86760279302 118034333469 130140418953 157379111292 173520558604 236068666938 260280837906 390421256859 472137333876 520561675812 563941815463 780842513718 1127883630926 1561685027436 1691825446389 2255767261852 3383650892778 5075476339167 6767301785556 10150952678334 20301905356668