Search a number
-
+
12668334000 = 243537301627
BaseRepresentation
bin10111100110001011…
…10110111110110000
31012200212201001020120
423303011312332300
5201421043142000
65453022210240
7625635030240
oct136305667660
935625631216
1012668334000
115410a42923
122556723980
13126b76782a
148826b1b20
154e228a6a0
hex2f3176fb0

12668334000 has 160 divisors (see below), whose sum is σ = 46677536256. Its totient is φ = 2895609600.

The previous prime is 12668333963. The next prime is 12668334001. The reversal of 12668334000 is 43386621.

It is not an unprimeable number, because it can be changed into a prime (12668334001) 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, 108814 + ... + 192813.

Almost surely, 212668334000 is an apocalyptic number.

12668334000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12668334000 is an abundant number, since it is smaller than the sum of its proper divisors (34009202256).

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

12668334000 is a wasteful number, since it uses less digits than its factorization.

12668334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301660 (or 301644 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 12668334000 in words is "twelve billion, six hundred sixty-eight million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 301627 603254 904881 1206508 1508135 1809762 2111389 2413016 3016270 3619524 4222778 4524405 4826032 6032540 6334167 7239048 7540675 8445556 9048810 10556945 12065080 12668334 14478096 15081350 16891112 18097620 21113890 22622025 24130160 25336668 30162700 31670835 33782224 36195240 37703375 42227780 45244050 50673336 52784725 60325400 63341670 72390480 75406750 84455560 90488100 101346672 105569450 113110125 120650800 126683340 150813500 158354175 168911120 180976200 211138900 226220250 253366680 263923625 301627000 316708350 361952400 422277800 452440500 506733360 527847250 603254000 633416700 791770875 844555600 904881000 1055694500 1266833400 1583541750 1809762000 2111389000 2533666800 3167083500 4222778000 6334167000 12668334000