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58350006227100 = 22352740967935739
BaseRepresentation
bin11010100010001101010110…
…11001001101000010011100
321122121012120021000020100110
431101012223121031002130
530122001303043231400
6324033342305330020
715201435356322420
oct1521065331150234
9248535507006313
1058350006227100
111765710a374135
126664757036910
1326734c7285c13
14105a22649ab80
156b2c3e458e50
hex3511ab64d09c

58350006227100 has 144 divisors (see below), whose sum is σ = 193415769209600. Its totient is φ = 13304534929920.

The previous prime is 58350006227077. The next prime is 58350006227101. The reversal of 58350006227100 is 172260005385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58350006227101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33108970 + ... + 34826769.

Almost surely, 258350006227100 is an apocalyptic number.

58350006227100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58350006227100 is an abundant number, since it is smaller than the sum of its proper divisors (135065762982500).

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

58350006227100 is a wasteful number, since it uses less digits than its factorization.

58350006227100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67936172 (or 67936165 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 58350006227100 in words is "fifty-eight trillion, three hundred fifty billion, six million, two hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 409 420 525 700 818 1050 1227 1636 2045 2100 2454 2863 4090 4908 5726 6135 8180 8589 10225 11452 12270 14315 17178 20450 24540 28630 30675 34356 40900 42945 57260 61350 71575 85890 122700 143150 171780 214725 286300 429450 858900 67935739 135871478 203807217 271742956 339678695 407614434 475550173 679357390 815228868 951100346 1019036085 1358714780 1426650519 1698393475 1902200692 2038072170 2377750865 2853301038 3396786950 4076144340 4755501730 5095180425 5706602076 6793573900 7133252595 9511003460 10190360850 11888754325 14266505190 20380721700 23777508650 27785717251 28533010380 35666262975 47555017300 55571434502 71332525950 83357151753 111142869004 138928586255 142665051900 166714303506 194500020757 277857172510 333428607012 389000041514 416785758765 555714345020 583500062271 694642931275 778000083028 833571517530 972500103785 1167000124542 1389285862550 1667143035060 1945000207570 2083928793825 2334000249084 2778571725100 2917500311355 3890000415140 4167857587650 4862500518925 5835000622710 8335715175300 9725001037850 11670001245420 14587501556775 19450002075700 29175003113550 58350006227100