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14463427680 = 2532513772619
BaseRepresentation
bin11010111100001011…
…00110010001100000
31101022222111020211200
431132011212101200
5214110114141210
610351105241200
71021263051432
oct153605462140
941288436750
1014463427680
116152256319
122977933200
13149662a640
149b2c6c652
15599b750c0
hex35e166460

14463427680 has 144 divisors (see below), whose sum is σ = 53153165520. Its totient is φ = 3560223744.

The previous prime is 14463427661. The next prime is 14463427691. The reversal of 14463427680 is 8672436441.

14463427680 is a `hidden beast` number, since 1 + 4 + 4 + 634 + 2 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367590 + ... + 405029.

It is an arithmetic number, because the mean of its divisors is an integer number (369119205).

Almost surely, 214463427680 is an apocalyptic number.

14463427680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14463427680 is an abundant number, since it is smaller than the sum of its proper divisors (38689737840).

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

14463427680 is a wasteful number, since it uses less digits than its factorization.

14463427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772653 (or 772642 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14463427680 in words is "fourteen billion, four hundred sixty-three million, four hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 772619 1545238 2317857 3090476 3863095 4635714 6180952 6953571 7726190 9271428 10044047 11589285 12361904 13907142 15452380 18542856 20088094 23178570 24723808 27814284 30132141 30904760 34767855 37085712 40176188 46357140 50220235 55628568 60264282 61809520 69535710 74171424 80352376 90396423 92714280 100440470 111257136 120528564 123619040 139071420 150660705 160704752 180792846 185428560 200880940 222514272 241057128 278142840 301321410 321409504 361585692 370857120 401761880 451982115 482114256 556285680 602642820 723171384 803523760 903964230 964228512 1112571360 1205285640 1446342768 1607047520 1807928460 2410571280 2892685536 3615856920 4821142560 7231713840 14463427680