Search a number
-
+
12603948441616 = 2472103212312
BaseRepresentation
bin1011011101101001010111…
…0111101010000000010000
31122121220222211121202221001
42313122111313222000100
53123000341300112431
642450101325111344
72440414410036100
oct267322567520020
948556884552831
1012603948441616
11401a339346a94
1214b68909b8554
13705716388c7c
1431806a3d5200
1516ccce72be61
hexb7695dea010

12603948441616 has 135 divisors (see below), whose sum is σ = 28708909849503. Its totient is φ = 5344903126080.

The previous prime is 12603948441587. The next prime is 12603948441631. The reversal of 12603948441616 is 61614484930621.

The square root of 12603948441616 is 3550204.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10238787721 + ... + 10238788951.

Almost surely, 212603948441616 is an apocalyptic number.

12603948441616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12603948441616 is the 3550204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12603948441616

12603948441616 is an abundant number, since it is smaller than the sum of its proper divisors (16104961407887).

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

12603948441616 is an frugal number, since it uses more digits than its factorization.

12603948441616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 12603948441616 in words is "twelve trillion, six hundred three billion, nine hundred forty-eight million, four hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 392 412 721 784 824 1231 1442 1648 2462 2884 4924 5047 5768 8617 9848 10094 10609 11536 17234 19696 20188 21218 34468 40376 42436 60319 68936 74263 80752 84872 120638 126793 137872 148526 169744 241276 253586 297052 482552 507172 519841 594104 887551 965104 1014344 1039682 1188208 1515361 1775102 2028688 2079364 3030722 3550204 4158728 6061444 6212857 7100408 8317456 10607527 12122888 12425714 13059679 14200816 21215054 24245776 24851428 26119358 42430108 49702856 52238716 74252689 84860216 91417753 99405712 104477432 148505378 156082183 169720432 182835506 208954864 297010756 312164366 365671012 594021512 624328732 639924271 731342024 1092575281 1188043024 1248657464 1279848542 1462684048 2185150562 2497314928 2559697084 4370301124 5119394168 7648026967 8740602248 10238788336 15296053934 16076464849 17481204496 30592107868 32152929698 61184215736 64305859396 112535253943 122368431472 128611718792 225070507886 257223437584 450141015772 787746777601 900282031544 1575493555202 1800564063088 3150987110404 6301974220808 12603948441616