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14518505680 = 2457257281359
BaseRepresentation
bin11011000010101111…
…01101000011010000
31101110211010111122121
431201113231003100
5214213214140210
610400353544024
71022532155620
oct154127550320
941424114577
1014518505680
116180355228
122992275014
1314a4b73183
149ba2c8880
1559e9046da
hex3615ed0d0

14518505680 has 160 divisors (see below), whose sum is σ = 38973934080. Its totient is φ = 4926996480.

The previous prime is 14518505641. The next prime is 14518505707. The reversal of 14518505680 is 8650581541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40441341 + ... + 40441699.

It is an arithmetic number, because the mean of its divisors is an integer number (243587088).

Almost surely, 214518505680 is an apocalyptic number.

14518505680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14518505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486967040).

14518505680 is an abundant number, since it is smaller than the sum of its proper divisors (24455428400).

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

14518505680 is a wasteful number, since it uses less digits than its factorization.

14518505680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 43.

The spelling of 14518505680 in words is "fourteen billion, five hundred eighteen million, five hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 257 280 281 359 514 560 562 718 1028 1124 1285 1405 1436 1795 1799 1967 2056 2248 2513 2570 2810 2872 3590 3598 3934 4112 4496 5026 5140 5620 5744 7180 7196 7868 8995 9835 10052 10280 11240 12565 14360 14392 15736 17990 19670 20104 20560 22480 25130 28720 28784 31472 35980 39340 40208 50260 71960 72217 78680 92263 100520 100879 143920 144434 157360 184526 201040 201758 288868 361085 369052 403516 461315 504395 505519 577736 645841 706153 722170 738104 807032 922630 1008790 1011038 1155472 1291682 1412306 1444340 1476208 1614064 1845260 2017580 2022076 2527595 2583364 2824612 2888680 3229205 3530765 3690520 4035160 4044152 5055190 5166728 5649224 5777360 6458410 7061530 7381040 8070320 8088304 10110380 10333456 11298448 12916820 14123060 20220760 25833640 25925903 28246120 40441520 51667280 51851806 56492240 103703612 129629515 181481321 207407224 259259030 362962642 414814448 518518060 725925284 907406605 1037036120 1451850568 1814813210 2074072240 2903701136 3629626420 7259252840 14518505680