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42271983820 = 225112370911783
BaseRepresentation
bin100111010111100110…
…110100100011001100
311001010000012021101101
4213113212310203030
51143033111440240
631230335152444
73024352635223
oct472746644314
9131100167341
1042271983820
1116a22484120
128238975724
133ca89986a1
142090225cba
1511761c239a
hex9d79b48cc

42271983820 has 96 divisors (see below), whose sum is σ = 101202877440. Its totient is φ = 14681314560.

The previous prime is 42271983799. The next prime is 42271983821. The reversal of 42271983820 is 2838917224.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (42271983821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3581649 + ... + 3593431.

It is an arithmetic number, because the mean of its divisors is an integer number (1054196640).

Almost surely, 242271983820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42271983820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50601438720).

42271983820 is an abundant number, since it is smaller than the sum of its proper divisors (58930893620).

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

42271983820 is a wasteful number, since it uses less digits than its factorization.

42271983820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12535 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 42271983820 in words is "forty-two billion, two hundred seventy-one million, nine hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 709 1012 1265 1418 2530 2836 3545 5060 7090 7799 11783 14180 15598 16307 23566 31196 32614 38995 47132 58915 65228 77990 81535 117830 129613 155980 163070 179377 235660 259226 271009 326140 358754 518452 542018 648065 717508 896885 1084036 1296130 1355045 1793770 2592260 2710090 2981099 3587540 5420180 5962198 8354147 11924396 14905495 16708294 29810990 33416588 41770735 59621980 83541470 91895617 167082940 183791234 192145381 367582468 384290762 459478085 768581524 918956170 960726905 1837912340 1921453810 2113599191 3842907620 4227198382 8454396764 10567995955 21135991910 42271983820