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203293209251920 = 24567223353481813
BaseRepresentation
bin101110001110010011100011…
…100001011101000001010000
3222122210122022021211121122111
4232032103203201131001100
5203121223443032030140
62000211335552515104
760551310145145014
oct5616234341350120
9878718267747574
10203293209251920
1159859190863827
121a97370454ba94
13895860ca8ac48
14382b62dc12544
1518781c9c0d7ea
hexb8e4e385d050

203293209251920 has 160 divisors (see below), whose sum is σ = 483228513395712. Its totient is φ = 79518314151936.

The previous prime is 203293209251879. The next prime is 203293209251929. The reversal of 203293209251920 is 29152902392302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203293209251929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421692934 + ... + 422174746.

Almost surely, 2203293209251920 is an apocalyptic number.

203293209251920 is a gapful number since it is divisible by the number (20) 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 203293209251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241614256697856).

203293209251920 is an abundant number, since it is smaller than the sum of its proper divisors (279935304143792).

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

203293209251920 is a wasteful number, since it uses less digits than its factorization.

203293209251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482469 (or 482463 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

The spelling of 203293209251920 in words is "two hundred three trillion, two hundred ninety-three billion, two hundred nine million, two hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 223 268 335 353 446 536 670 706 892 1072 1115 1340 1412 1765 1784 2230 2680 2824 3530 3568 4460 5360 5648 7060 8920 14120 14941 17840 23651 28240 29882 47302 59764 74705 78719 94604 118255 119528 149410 157438 189208 236510 239056 298820 314876 378416 393595 473020 481813 597640 629752 787190 946040 963626 1195280 1259504 1574380 1892080 1927252 2409065 3148760 3854504 4818130 5274173 6297520 7709008 9636260 10548346 19272520 21096692 26370865 32281471 38545040 42193384 52741730 64562942 84386768 105483460 107444299 129125884 161407355 170079989 210966920 214888598 258251768 322814710 340159978 421933840 429777196 516503536 537221495 645629420 680319956 850399945 859554392 1074442990 1291258840 1360639912 1700799890 1719108784 2148885980 2582517680 2721279824 3401599780 4297771960 6803199560 7198768033 8595543920 11395359263 13606399120 14397536066 22790718526 28795072132 35993840165 37927837547 45581437052 56976796315 57590144264 71987680330 75855675094 91162874104 113953592630 115180288528 143975360660 151711350188 182325748208 189639187735 227907185260 287950721320 303422700376 379278375470 455814370520 575901442640 606845400752 758556750940 911628741040 1517113501880 2541165115649 3034227003760 5082330231298 10164660462596 12705825578245 20329320925192 25411651156490 40658641850384 50823302312980 101646604625960 203293209251920