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21661741454100 = 223521120747316391
BaseRepresentation
bin1001110110011100001000…
…11001111001001100010100
32211200211202000011211022020
410323032010121321030110
510314401221303012400
6114023133332333140
74364003101231206
oct473160431711424
984624660154266
1021661741454100
1169a176936a850
12251a2354741b0
13c11902698b67
1454c6107d4776
15278711a0e2a0
hex13b384679314

21661741454100 has 144 divisors (see below), whose sum is σ = 68375844665856. Its totient is φ = 5251061552000.

The previous prime is 21661741454099. The next prime is 21661741454123. The reversal of 21661741454100 is 145414716612.

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, 68306905 + ... + 68623295.

It is an arithmetic number, because the mean of its divisors is an integer number (474832254624).

Almost surely, 221661741454100 is an apocalyptic number.

21661741454100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21661741454100 is an abundant number, since it is smaller than the sum of its proper divisors (46714103211756).

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

21661741454100 is a wasteful number, since it uses less digits than its factorization.

21661741454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337166 (or 337159 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 21661741454100 in words is "twenty-one trillion, six hundred sixty-one billion, seven hundred forty-one million, four hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 20747 41494 62241 82988 103735 124482 207470 228217 248964 311205 316391 414940 456434 518675 622410 632782 684651 912868 949173 1037350 1141085 1244820 1265564 1369302 1556025 1581955 1898346 2074700 2282170 2738604 3112050 3163910 3423255 3480301 3796692 4564340 4745865 5705425 6224100 6327820 6846510 6960602 7909775 9491730 10440903 11410850 13693020 13921204 15819550 17116275 17401505 18983460 20881806 22821700 23729325 31639100 34232550 34803010 41763612 47458650 52204515 68465100 69606020 87007525 94917300 104409030 174015050 208818060 261022575 348030100 522045150 1044090300 6564164077 13128328154 19692492231 26256656308 32820820385 39384984462 65641640770 72205804847 78769968924 98462461155 131283281540 144411609694 164104101925 196924922310 216617414541 288823219388 328208203850 361029024235 393849844620 433234829082 492312305775 656416407700 722058048470 866469658164 984624611550 1083087072705 1444116096940 1805145121175 1969249223100 2166174145410 3610290242350 4332348290820 5415435363525 7220580484700 10830870727050 21661741454100