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12703782740 = 2251132320749
BaseRepresentation
bin10111101010011010…
…00101011101010100
31012210100102000202212
423311031011131110
5202004132021430
65500330052552
7626545241315
oct136515053524
935710360685
1012703782740
115429a55000
12256657a158
131275bc990c
1488729c60c
154e543db95
hex2f5345754

12703782740 has 96 divisors (see below), whose sum is σ = 30621024000. Its totient is φ = 4418494080.

The previous prime is 12703782737. The next prime is 12703782757. The reversal of 12703782740 is 4728730721.

It is a super-2 number, since 2×127037827402 (a number of 21 digits) contains 22 as substring.

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, 601886 + ... + 622634.

It is an arithmetic number, because the mean of its divisors is an integer number (318969000).

Almost surely, 212703782740 is an apocalyptic number.

12703782740 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 12703782740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310512000).

12703782740 is an abundant number, since it is smaller than the sum of its proper divisors (17917241260).

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

12703782740 is a wasteful number, since it uses less digits than its factorization.

12703782740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20814 (or 20790 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The spelling of 12703782740 in words is "twelve billion, seven hundred three million, seven hundred eighty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 1331 2420 2530 2662 2783 5060 5324 5566 6655 11132 13310 13915 20749 26620 27830 30613 41498 55660 61226 82996 103745 122452 153065 207490 228239 306130 414980 456478 477227 612260 912956 954454 1141195 1908908 2282390 2386135 2510629 4564780 4772270 5021258 5249497 9544540 10042516 10498994 12553145 20997988 25106290 26247485 27616919 50212580 52494970 55233838 57744467 104989940 110467676 115488934 138084595 230977868 276169190 288722335 552338380 577444670 635189137 1154889340 1270378274 2540756548 3175945685 6351891370 12703782740