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12382838760 = 23351729209311
BaseRepresentation
bin10111000100001001…
…10001111111101000
31011221222111101101210
423202010301333220
5200330001320020
65404423113120
7615600251505
oct134204617750
934858441353
1012382838760
115284876046
122496ba27a0
131224577b36
148567d64ac
154c71943e0
hex2e2131fe8

12382838760 has 128 divisors (see below), whose sum is σ = 40690252800. Its totient is φ = 3000668160.

The previous prime is 12382838749. The next prime is 12382838761. The reversal of 12382838760 is 6783828321.

12382838760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12382838761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45496 + ... + 163815.

It is an arithmetic number, because the mean of its divisors is an integer number (317892600).

Almost surely, 212382838760 is an apocalyptic number.

12382838760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12382838760 is an abundant number, since it is smaller than the sum of its proper divisors (28307414040).

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

12382838760 is a wasteful number, since it uses less digits than its factorization.

12382838760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209371 (or 209367 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 12382838760 in words is "twelve billion, three hundred eighty-two million, eight hundred thirty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 408 435 493 510 580 680 696 870 986 1020 1160 1479 1740 1972 2040 2465 2958 3480 3944 4930 5916 7395 9860 11832 14790 19720 29580 59160 209311 418622 627933 837244 1046555 1255866 1674488 2093110 2511732 3139665 3558287 4186220 5023464 6070019 6279330 7116574 8372440 10674861 12140038 12558660 14233148 17791435 18210057 21349722 24280076 25117320 28466296 30350095 35582870 36420114 42699444 48560152 53374305 60700190 71165740 72840228 85398888 91050285 103190323 106748610 121400380 142331480 145680456 182100570 206380646 213497220 242800760 309570969 364201140 412761292 426994440 515951615 619141938 728402280 825522584 1031903230 1238283876 1547854845 2063806460 2476567752 3095709690 4127612920 6191419380 12382838760