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20438173321874 = 27111729993127107
BaseRepresentation
bin1001010010110101000100…
…00011111000101010010010
32200100212111102212112211122
410221122202003320222102
510134324334332244444
6111245100041042242
74206415662554330
oct451324203705222
980325442775748
1020438173321874
11656a865022130
12236107aa86382
13b534084035a9
145092da16cb50
1525699cbdd4ee
hex1296a20f8a92

20438173321874 has 128 divisors (see below), whose sum is σ = 41871684741120. Its totient is φ = 7235090150400.

The previous prime is 20438173321873. The next prime is 20438173321883. The reversal of 20438173321874 is 47812337183402.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20438173321873) 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 63 ways as a sum of consecutive naturals, for example, 753967829 + ... + 753994935.

It is an arithmetic number, because the mean of its divisors is an integer number (327122537040).

Almost surely, 220438173321874 is an apocalyptic number.

20438173321874 is an abundant number, since it is smaller than the sum of its proper divisors (21433511419246).

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

20438173321874 is a wasteful number, since it uses less digits than its factorization.

20438173321874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37104.

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 20438173321874 in words is "twenty trillion, four hundred thirty-eight billion, one hundred seventy-three million, three hundred twenty-one thousand, eight hundred seventy-four".

Divisors: 1 2 7 11 14 17 22 29 34 58 77 119 154 187 203 238 319 374 406 493 638 986 1309 2233 2618 3451 4466 5423 6902 9931 10846 19862 27107 37961 54214 69517 75922 109241 139034 168827 189749 218482 287999 298177 337654 379498 460819 575998 596354 764687 786103 921638 1181789 1529374 1572206 1857097 2015993 2087239 2363578 3167989 3225733 3714194 4031986 4174478 4895983 5069009 5502721 6335978 6451466 8647133 9791966 10138018 11005442 12999679 13363751 17294266 22175923 25999358 26727502 34271881 35483063 44351846 53855813 60529931 68543762 70966126 93546257 107711626 121059862 147001261 187092514 269199617 294002522 376990691 538399234 753981382 1029008827 1884397319 2058017654 2961195787 3768794638 4576393489 5922391574 7806788893 9152786978 15613577786 20728370509 32034754423 41456741018 50340328379 54647522251 64069508846 85874677823 100680656758 109295044502 132715411181 171749355646 265430822362 352382298653 601122744761 704764597306 929007878267 1202245489522 1459869522991 1858015756534 2919739045982 10219086660937 20438173321874