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12426050160 = 2433519302779
BaseRepresentation
bin10111001001010011…
…00111101001110000
31012001222210202022000
423210221213221300
5200422032101120
65413005214000
7616633453326
oct134451475160
935058722260
1012426050160
1152a71aa447
1224a9561300
1312304c7304
1485c443d16
154cad7c990
hex2e4a67a70

12426050160 has 160 divisors (see below), whose sum is σ = 45053664000. Its totient is φ = 3139202304.

The previous prime is 12426050129. The next prime is 12426050167. The reversal of 12426050160 is 6105062421.

12426050160 is a `hidden beast` number, since 1 + 2 + 42 + 60 + 501 + 60 = 666.

12426050160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12426050167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110350 + ... + 192429.

It is an arithmetic number, because the mean of its divisors is an integer number (281585400).

Almost surely, 212426050160 is an apocalyptic number.

12426050160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12426050160 is an abundant number, since it is smaller than the sum of its proper divisors (32627613840).

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

12426050160 is a wasteful number, since it uses less digits than its factorization.

12426050160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302820 (or 302808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12426050160 in words is "twelve billion, four hundred twenty-six million, fifty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 302779 605558 908337 1211116 1513895 1816674 2422232 2725011 3027790 3633348 4541685 4844464 5450022 5752801 6055580 7266696 8175033 9083370 10900044 11505602 12111160 13625055 14533392 16350066 17258403 18166740 21800088 23011204 24222320 27250110 28764005 32700132 34516806 36333480 40875165 43600176 46022408 51775209 54500220 57528010 65400264 69033612 72666960 81750330 86292015 92044816 103550418 109000440 115056020 130800528 138067224 155325627 163500660 172584030 207100836 218000880 230112040 258876045 276134448 310651254 327001320 345168060 414201672 460224080 517752090 621302508 654002640 690336120 776628135 828403344 1035504180 1242605016 1380672240 1553256270 2071008360 2485210032 3106512540 4142016720 6213025080 12426050160