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12479494272 = 273719244351
BaseRepresentation
bin10111001111101010…
…11111100010000000
31012012201100222211120
423213311133202000
5201024222304042
65422154512240
7621152644140
oct134765374200
935181328746
1012479494272
115324392833
122503435680
13123b5ba24b
14865596920
154d08d7dec
hex2e7d5f880

12479494272 has 128 divisors (see below), whose sum is σ = 39878246400. Its totient is φ = 3377894400.

The previous prime is 12479494267. The next prime is 12479494289. The reversal of 12479494272 is 27249497421.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71104 + ... + 173247.

It is an arithmetic number, because the mean of its divisors is an integer number (311548800).

Almost surely, 212479494272 is an apocalyptic number.

12479494272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12479494272 is an abundant number, since it is smaller than the sum of its proper divisors (27398752128).

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

12479494272 is a wasteful number, since it uses less digits than its factorization.

12479494272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244394 (or 244382 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 12479494272 in words is "twelve billion, four hundred seventy-nine million, four hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 244351 488702 733053 977404 1466106 1710457 1954808 2932212 3420914 3909616 4642669 5131371 5864424 6841828 7819232 9285338 10262742 11728848 13683656 13928007 15638464 18570676 20525484 23457696 27367312 27856014 31276928 32498683 37141352 41050968 46915392 54734624 55712028 64997366 74282704 82101936 93830784 97496049 109469248 111424056 129994732 148565408 164203872 194992098 218938496 222848112 259989464 297130816 328407744 389984196 445696224 519978928 594261632 656815488 779968392 891392448 1039957856 1559936784 1782784896 2079915712 3119873568 4159831424 6239747136 12479494272