Search a number
-
+
12818933274640 = 245737946759497
BaseRepresentation
bin1011101010001010001111…
…1101101101100000010000
31200101110220111111211221011
42322202203331231200100
53140011133404242030
643132534152140304
72462065055002663
oct272424375554020
950343814454834
1012818933274640
1140a252a710009
12153048a997694
1371ca8804383c
143246226ad6da
151736b34bbb2a
hexba8a3f6d810

12818933274640 has 160 divisors (see below), whose sum is σ = 30660756871680. Its totient is φ = 4982539640832.

The previous prime is 12818933274629. The next prime is 12818933274647. The reversal of 12818933274640 is 4647233981821.

It is not an unprimeable number, because it can be changed into a prime (12818933274647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215425372 + ... + 215484868.

It is an arithmetic number, because the mean of its divisors is an integer number (191629730448).

Almost surely, 212818933274640 is an apocalyptic number.

12818933274640 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 12818933274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15330378435840).

12818933274640 is an abundant number, since it is smaller than the sum of its proper divisors (17841823597040).

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

12818933274640 is a wasteful number, since it uses less digits than its factorization.

12818933274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60129 (or 60123 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 12818933274640 in words is "twelve trillion, eight hundred eighteen billion, nine hundred thirty-three million, two hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 79 80 146 158 292 316 365 395 467 584 632 730 790 934 1168 1264 1460 1580 1868 2335 2920 3160 3736 4670 5767 5840 6320 7472 9340 11534 18680 23068 28835 34091 36893 37360 46136 57670 59497 68182 73786 92272 115340 118994 136364 147572 170455 184465 230680 237988 272728 295144 297485 340910 368930 461360 475976 545456 590288 594970 681820 737860 951952 1189940 1363640 1475720 2379880 2693189 2727280 2951440 4343281 4700263 4759760 5386378 8686562 9400526 10772756 13465945 17373124 18801052 21545512 21716405 23501315 26931890 27785099 34746248 37602104 43091024 43432810 47002630 53863780 55570198 69492496 75204208 86865620 94005260 107727560 111140396 138925495 173731240 188010520 215455120 222280792 277850990 343119199 347462480 376021040 444561584 555701980 686238398 1111403960 1372476796 1715595995 2028312227 2195022821 2222807920 2744953592 3431191990 4056624454 4390045642 5489907184 6862383980 8113248908 8780091284 10141561135 10975114105 13724767960 16226497816 17560182568 20283122270 21950228210 27449535920 32452995632 35120365136 40566244540 43900456420 81132489080 87800912840 160236665933 162264978160 175601825680 320473331866 640946663732 801183329665 1281893327464 1602366659330 2563786654928 3204733318660 6409466637320 12818933274640