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205421066063250 = 23531936172300071
BaseRepresentation
bin101110101101010001010001…
…101011000000110110010010
3222221100001200021211110002020
4232231101101223000312102
5203411104320403011000
62004521045053032310
761161116341465002
oct5655212153006622
9887301607743066
10205421066063250
115a4a9648527334
121b057b8b485696
138a8117b196c5b
1438a260b27c002
1518b3717805ba0
hexbad451ac0d92

205421066063250 has 128 divisors (see below), whose sum is σ = 516223154723328. Its totient is φ = 54406775808000.

The previous prime is 205421066063237. The next prime is 205421066063293. The reversal of 205421066063250 is 52360660124502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88160715 + ... + 90460785.

It is an arithmetic number, because the mean of its divisors is an integer number (4032993396276).

Almost surely, 2205421066063250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205421066063250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258111577361664).

205421066063250 is an abundant number, since it is smaller than the sum of its proper divisors (310802088660078).

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

205421066063250 is a wasteful number, since it uses less digits than its factorization.

205421066063250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300901 (or 2300891 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 205421066063250 in words is "two hundred five trillion, four hundred twenty-one billion, sixty-six million, sixty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 193 250 375 386 579 617 750 965 1158 1234 1851 1930 2895 3085 3702 4825 5790 6170 9255 9650 14475 15425 18510 24125 28950 30850 46275 48250 72375 77125 92550 119081 144750 154250 231375 238162 357243 462750 595405 714486 1190810 1786215 2300071 2977025 3572430 4600142 5954050 6900213 8931075 11500355 13800426 14885125 17862150 23000710 29770250 34501065 44655375 57501775 69002130 89310750 115003550 172505325 287508875 345010650 443913703 575017750 862526625 887827406 1331741109 1419143807 1725053250 2219568515 2663482218 2838287614 4257431421 4439137030 6658705545 7095719035 8514862842 11097842575 13317411090 14191438070 21287157105 22195685150 33293527725 35478595175 42574314210 55489212875 66587055450 70957190350 106435785525 110978425750 166467638625 177392975875 212871571050 273894754751 332935277250 354785951750 532178927625 547789509502 821684264253 1064357855250 1369473773755 1643368528506 2738947547510 4108421321265 6847368868775 8216842642530 13694737737550 20542106606325 34236844343875 41084213212650 68473688687750 102710533031625 205421066063250