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20534347332828 = 223271732571471681
BaseRepresentation
bin1001010101101000001100…
…11110100111110011011100
32200201001201222020111210100
410222310012132213303130
510142413320404122303
6111401203211541100
74216362161301660
oct452640636476334
980631658214710
1020534347332828
1165a762781600a
12237783b45a790
13b5c4c4379494
1450dc210148a0
1525922b0c68a3
hex12ad067a7cdc

20534347332828 has 144 divisors (see below), whose sum is σ = 62830272383424. Its totient is φ = 5520142172160.

The previous prime is 20534347332809. The next prime is 20534347332899. The reversal of 20534347332828 is 82823374343502.

20534347332828 is a `hidden beast` number, since 2 + 0 + 53 + 43 + 473 + 3 + 2 + 82 + 8 = 666.

20534347332828 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13217148 + ... + 14688828.

It is an arithmetic number, because the mean of its divisors is an integer number (436321335996).

Almost surely, 220534347332828 is an apocalyptic number.

20534347332828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20534347332828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31415136191712).

20534347332828 is an abundant number, since it is smaller than the sum of its proper divisors (42295925050596).

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

20534347332828 is a wasteful number, since it uses less digits than its factorization.

20534347332828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474972 (or 1474967 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 20534347332828 in words is "twenty trillion, five hundred thirty-four billion, three hundred forty-seven million, three hundred thirty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 3257 4284 6514 9771 13028 19542 22799 29313 39084 45598 55369 58626 68397 91196 110738 117252 136794 166107 205191 221476 273588 332214 387583 410382 498321 664428 775166 820764 996642 1162749 1471681 1550332 1993284 2325498 2943362 3488247 4415043 4650996 5886724 6976494 8830086 10301767 13245129 13952988 17660172 20603534 25018577 26490258 30905301 41207068 50037154 52980516 61810602 75055731 92715903 100074308 123621204 150111462 175130039 185431806 225167193 300222924 350260078 370863612 450334386 525390117 700520156 900668772 1050780234 1576170351 2101560468 3152340702 4793265017 6304681404 9586530034 14379795051 19173060068 28759590102 33552855119 43139385153 57519180204 67105710238 81485505289 86278770306 100658565357 134211420476 162971010578 172557540612 201317130714 244456515867 301975696071 325942021156 402634261428 488913031734 570398537023 603951392142 733369547601 977826063468 1140797074046 1207902784284 1466739095202 1711195611069 2281594148092 2933478190404 3422391222138 5133586833207 6844782444276 10267173666414 20534347332828