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212853728406000 = 24353113225056491
BaseRepresentation
bin110000011001011011011110…
…110111101110100111110000
31000220122121200022022201111110
4300121123132313232213300
5210344343413432443000
62032411353010113320
762556113550131253
oct6031333667564760
91026577608281443
10212853728406000
1161904839666570
121ba5858ab7b840
1391a0035c56036
143a7c26551109a
151991c3211e850
hexc196dedee9f0

212853728406000 has 160 divisors (see below), whose sum is σ = 748625913374976. Its totient is φ = 51600903840000.

The previous prime is 212853728405971. The next prime is 212853728406037. The reversal of 212853728406000 is 604827358212.

It is a super-2 number, since 2×2128537284060002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612462246 + ... + 1612594245.

Almost surely, 2212853728406000 is an apocalyptic number.

212853728406000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212853728406000 is an abundant number, since it is smaller than the sum of its proper divisors (535772184968976).

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

212853728406000 is a wasteful number, since it uses less digits than its factorization.

212853728406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225056528 (or 3225056512 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 212853728406000 in words is "two hundred twelve trillion, eight hundred fifty-three billion, seven hundred twenty-eight million, four hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 3225056491 6450112982 9675169473 12900225964 16125282455 19350338946 25800451928 32250564910 35475621401 38700677892 48375847365 51600903856 64501129820 70951242802 77401355784 80626412275 96751694730 106426864203 129002259640 141902485604 154802711568 161252824550 177378107005 193503389460 212853728406 241879236825 258004519280 283804971208 322505649100 354756214010 387006778920 403132061375 425707456812 483758473650 532134321015 567609942416 645011298200 709512428020 774013557840 806264122750 851414913624 886890535025 967516947300 1064268642030 1209396184125 1290022596400 1419024856040 1612528245500 1702829827248 1773781070050 1935033894600 2128537284060 2418792368250 2660671605075 2838049712080 3225056491000 3547562140100 3870067789200 4257074568120 4434452675125 4837584736500 5321343210150 6450112982000 7095124280200 8514149136240 8868905350250 9675169473000 10642686420300 13303358025375 14190248560400 17737810700500 19350338946000 21285372840600 26606716050750 35475621401000 42570745681200 53213432101500 70951242802000 106426864203000 212853728406000