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12644431330420 = 22517967148325933
BaseRepresentation
bin1011100000000000001011…
…0101100111110001110100
31122202210111011022121100001
42320000002311213301310
53124131243410033140
642520434354001044
72443346536646011
oct270000265476164
948683434277301
1012644431330420
11403552293458a
1215026aa576184
137094984b2046
14319dcab82708
1516dd9d7ebe9a
hexb8002d67c74

12644431330420 has 96 divisors (see below), whose sum is σ = 28164403669248. Its totient is φ = 4751943985152.

The previous prime is 12644431330417. The next prime is 12644431330423. The reversal of 12644431330420 is 2403313444621.

It is an interprime number because it is at equal distance from previous prime (12644431330417) and next prime (12644431330423).

It is a self number, because there is not a number n which added to its sum of digits gives 12644431330420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12644431330423) 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, 487567774 + ... + 487593706.

It is an arithmetic number, because the mean of its divisors is an integer number (293379204888).

Almost surely, 212644431330420 is an apocalyptic number.

12644431330420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12644431330420 is an abundant number, since it is smaller than the sum of its proper divisors (15519972338828).

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

12644431330420 is a wasteful number, since it uses less digits than its factorization.

12644431330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28409 (or 28407 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

The spelling of 12644431330420 in words is "twelve trillion, six hundred forty-four billion, four hundred thirty-one million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 967 1483 1934 2966 3868 4835 5932 7415 9670 14830 16439 19340 25211 25933 29660 32878 50422 51866 65756 82195 100844 103732 126055 129665 164390 252110 259330 328780 440861 504220 518660 881722 1434061 1763444 2204305 2868122 4408610 5736244 7170305 8817220 14340610 24379037 25077211 28681220 38458639 48758074 50154422 76917278 97516148 100308844 121895185 125386055 153834556 192293195 243790370 250772110 384586390 426312587 487580740 501544220 653796863 769172780 852625174 1307593726 1705250348 2131562935 2615187452 3268984315 4263125870 6537968630 8526251740 13075937260 37189503913 74379007826 148758015652 185947519565 371895039130 632221566521 743790078260 1264443133042 2528886266084 3161107832605 6322215665210 12644431330420