Search a number
-
+
12794462310 = 23571723155821
BaseRepresentation
bin10111110101001110…
…00000000001100110
31020000200001000202110
423322213000001212
5202200340243220
65513325421450
7632026064250
oct137247000146
936020030673
1012794462310
11547615a9a3
122590a0a886
13128b928c76
14895344cd0
154ed3a1be0
hex2fa9c0066

12794462310 has 128 divisors (see below), whose sum is σ = 38773499904. Its totient is φ = 2632734720.

The previous prime is 12794462309. The next prime is 12794462339. The reversal of 12794462310 is 1326449721.

It is a super-2 number, since 2×127944623102 (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 63 ways as a sum of consecutive naturals, for example, 4200 + ... + 160020.

It is an arithmetic number, because the mean of its divisors is an integer number (302917968).

Almost surely, 212794462310 is an apocalyptic number.

12794462310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12794462310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386749952).

12794462310 is an abundant number, since it is smaller than the sum of its proper divisors (25979037594).

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

12794462310 is a wasteful number, since it uses less digits than its factorization.

12794462310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155878.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 12794462310 in words is "twelve billion, seven hundred ninety-four million, four hundred sixty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 23 30 34 35 42 46 51 69 70 85 102 105 115 119 138 161 170 210 230 238 255 322 345 357 391 483 510 595 690 714 782 805 966 1173 1190 1610 1785 1955 2346 2415 2737 3570 3910 4830 5474 5865 8211 11730 13685 16422 27370 41055 82110 155821 311642 467463 779105 934926 1090747 1558210 2181494 2337315 2648957 3272241 3583883 4674630 5297914 5453735 6544482 7167766 7946871 10751649 10907470 13244785 15893742 16361205 17919415 18542699 21503298 25087181 26489570 32722410 35838830 37085398 39734355 50174362 53758245 55628097 60926011 75261543 79468710 92713495 107516490 111256194 121852022 125435905 150523086 182778033 185426990 250871810 278140485 304630055 365556066 376307715 426482077 556280970 609260110 752615430 852964154 913890165 1279446231 1827780330 2132410385 2558892462 4264820770 6397231155 12794462310