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20241323066400 = 2535211374636147
BaseRepresentation
bin1001001101000110011001…
…10111110000010000100000
32122200001101121101110112220
410212203030313300100200
510123113212201111100
6111014422504551040
74156246566160062
oct446431467602040
978601347343486
1020241323066400
1164a432a1a9687
12232aaa2182480
13b3a996808497
144dd984513732
152517cb03baa0
hex1268ccdf0420

20241323066400 has 144 divisors (see below), whose sum is σ = 66468565052064. Its totient is φ = 5349918945280.

The previous prime is 20241323066389. The next prime is 20241323066441. The reversal of 20241323066400 is 466032314202.

It is a super-2 number, since 2×202413230664002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37046874 + ... + 37589273.

It is an arithmetic number, because the mean of its divisors is an integer number (461587257306).

Almost surely, 220241323066400 is an apocalyptic number.

20241323066400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20241323066400 is an abundant number, since it is smaller than the sum of its proper divisors (46227241985664).

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

20241323066400 is a wasteful number, since it uses less digits than its factorization.

20241323066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74636283 (or 74636270 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 20241323066400 in words is "twenty trillion, two hundred forty-one billion, three hundred twenty-three million, sixty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 113 120 150 160 200 226 240 300 339 400 452 480 565 600 678 800 904 1130 1200 1356 1695 1808 2260 2400 2712 2825 3390 3616 4520 5424 5650 6780 8475 9040 10848 11300 13560 16950 18080 22600 27120 33900 45200 54240 67800 90400 135600 271200 74636147 149272294 223908441 298544588 373180735 447816882 597089176 746361470 895633764 1119542205 1194178352 1492722940 1791267528 1865903675 2239084410 2388356704 2985445880 3582535056 3731807350 4478168820 5597711025 5970891760 7165070112 7463614700 8433884611 8956337640 11195422050 11941783520 14927229400 16867769222 17912675280 22390844100 25301653833 29854458800 33735538444 35825350560 42169423055 44781688200 50603307666 59708917600 67471076888 84338846110 89563376400 101206615332 126508269165 134942153776 168677692220 179126752800 202413230664 210847115275 253016538330 269884307552 337355384440 404826461328 421694230550 506033076660 632541345825 674710768880 809652922656 843388461100 1012066153320 1265082691650 1349421537760 1686776922200 2024132306640 2530165383300 3373553844400 4048264613280 5060330766600 6747107688800 10120661533200 20241323066400