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21074980245760 = 285710392263829
BaseRepresentation
bin1001100101010111001101…
…01101100001000100000000
32202121202012121110001212001
410302223212231201010000
510230243024420331020
6112453413503313344
74303421441241340
oct462534655410400
982552177401761
1021074980245760
116795937a1a391
1224445802ab854
13b9b49272a1ac
1452c06a8b8d20
1526831e06150a
hex132ae6b61100

21074980245760 has 144 divisors (see below), whose sum is σ = 57748311129600. Its totient is φ = 7218749841408.

The previous prime is 21074980245757. The next prime is 21074980245833. The reversal of 21074980245760 is 6754208947012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8177526 + ... + 10441354.

It is an arithmetic number, because the mean of its divisors is an integer number (401029938400).

Almost surely, 221074980245760 is an apocalyptic number.

21074980245760 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 21074980245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28874155564800).

21074980245760 is an abundant number, since it is smaller than the sum of its proper divisors (36673330883840).

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

21074980245760 is a wasteful number, since it uses less digits than its factorization.

21074980245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264896 (or 2264882 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 21074980245760 in words is "twenty-one trillion, seventy-four billion, nine hundred eighty million, two hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1039 1120 1280 1792 2078 2240 4156 4480 5195 7273 8312 8960 10390 14546 16624 20780 29092 33248 36365 41560 58184 66496 72730 83120 116368 132992 145460 166240 232736 265984 290920 332480 465472 581840 664960 930944 1163680 1329920 1861888 2263829 2327360 4527658 4654720 9055316 9309440 11319145 15846803 18110632 22638290 31693606 36221264 45276580 63387212 72442528 79234015 90553160 126774424 144885056 158468030 181106320 253548848 289770112 316936060 362212640 507097696 579540224 633872120 724425280 1014195392 1267744240 1448850560 2028390784 2352118331 2535488480 2897701120 4056781568 4704236662 5070976960 9408473324 10141953920 11760591655 16464828317 18816946648 20283907840 23521183310 32929656634 37633893296 47042366620 65859313268 75267786592 82324141585 94084733240 131718626536 150535573184 164648283170 188169466480 263437253072 301071146368 329296566340 376338932960 526874506144 602142292736 658593132680 752677865920 1053749012288 1317186265360 1505355731840 2107498024576 2634372530720 3010711463680 4214996049152 5268745061440 10537490122880 21074980245760