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83256229980 = 223257116006943
BaseRepresentation
bin100110110001001110…
…1010100000001011100
321221220021021200210100
41031202131110001130
52331002043324410
6102125233541100
76005111164320
oct1154235240134
9257807250710
1083256229980
1132343a75940
1214176414790
137b0a930611
14405b3dd980
1522742c78c0
hex136275405c

83256229980 has 144 divisors (see below), whose sum is σ = 314859976704. Its totient is φ = 17299992960.

The previous prime is 83256229897. The next prime is 83256229999. The reversal of 83256229980 is 8992265238.

83256229980 is a `hidden beast` number, since 8 + 3 + 2 + 5 + 622 + 9 + 9 + 8 + 0 = 666.

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, 2989612 + ... + 3017331.

It is an arithmetic number, because the mean of its divisors is an integer number (2186527616).

Almost surely, 283256229980 is an apocalyptic number.

It is an amenable number.

83256229980 is an abundant number, since it is smaller than the sum of its proper divisors (231603746724).

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

83256229980 is a wasteful number, since it uses less digits than its factorization.

83256229980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006976 (or 6006971 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

It can be divided in two parts, 83256 and 229980, that added together give a triangular number (313236 = T791).

The spelling of 83256229980 in words is "eighty-three billion, two hundred fifty-six million, two hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 6006943 12013886 18020829 24027772 30034715 36041658 42048601 54062487 60069430 66076373 72083316 84097202 90104145 108124974 120138860 126145803 132152746 168194404 180208290 198229119 210243005 216249948 252291606 264305492 270312435 330381865 360416580 378437409 396458238 420486010 462534611 504583212 540624870 594687357 630729015 660763730 756874818 792916476 840972020 925069222 991145595 1081249740 1189374714 1261458030 1321527460 1387603833 1513749636 1850138444 1892187045 1982291190 2312673055 2378749428 2522916060 2775207666 2973436785 3784374090 3964582380 4162811499 4625346110 5550415332 5946873570 6938019165 7568748180 8325622998 9250692220 11893747140 13876038330 16651245996 20814057495 27752076660 41628114990 83256229980