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12940348270680 = 23325112332008381
BaseRepresentation
bin1011110001001110100011…
…0111001010100001011000
31200211002022010020201002100
42330103220313022201120
53144003313124130210
643304414113003400
72503623615306165
oct274235067124130
950732263221070
1012940348270680
114139a75276646
12154bb14553560
1372b36742a26c
1432a45d90d06c
1517691c7ca5c0
hexbc4e8dca858

12940348270680 has 96 divisors (see below), whose sum is σ = 42093583000560. Its totient is φ = 3447686626560.

The previous prime is 12940348270651. The next prime is 12940348270721. The reversal of 12940348270680 is 8607284304921.

12940348270680 is a `hidden beast` number, since 1 + 2 + 94 + 0 + 3 + 482 + 70 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×129403482706802 (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 15599911 + ... + 16408470.

Almost surely, 212940348270680 is an apocalyptic number.

12940348270680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12940348270680 is an abundant number, since it is smaller than the sum of its proper divisors (29153234729880).

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

12940348270680 is a wasteful number, since it uses less digits than its factorization.

12940348270680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32009521 (or 32009514 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 12940348270680 in words is "twelve trillion, nine hundred forty billion, three hundred forty-eight million, two hundred seventy thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1123 2246 3369 4492 5615 6738 8984 10107 11230 13476 16845 20214 22460 26952 33690 40428 44920 50535 67380 80856 101070 134760 202140 404280 32008381 64016762 96025143 128033524 160041905 192050286 256067048 288075429 320083810 384100572 480125715 576150858 640167620 768201144 960251430 1152301716 1280335240 1440377145 1920502860 2304603432 2880754290 3841005720 5761508580 11523017160 35945411863 71890823726 107836235589 143781647452 179727059315 215672471178 287563294904 323508706767 359454118630 431344942356 539181177945 647017413534 718908237260 862689884712 1078362355890 1294034827068 1437816474520 1617543533835 2156724711780 2588069654136 3235087067670 4313449423560 6470174135340 12940348270680