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12426519168 = 273272220141
BaseRepresentation
bin10111001001010110…
…11010001010000000
31012002000200120122200
423210223122022000
5200422142103133
65413023233200
7616640445600
oct134453321200
935060616580
1012426519168
1152a749a858
1224a9748800
13123062c92b
1485c526c00
154cae21913
hex2e4ada280

12426519168 has 144 divisors (see below), whose sum is σ = 41596931610. Its totient is φ = 3550417920.

The previous prime is 12426519139. The next prime is 12426519181. The reversal of 12426519168 is 86191562421.

12426519168 is a `hidden beast` number, since 12 + 426 + 51 + 9 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10814336064 + 1612183104 = 103992^2 + 40152^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53623 + ... + 166518.

Almost surely, 212426519168 is an apocalyptic number.

12426519168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12426519168 is an abundant number, since it is smaller than the sum of its proper divisors (29170412442).

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

12426519168 is a wasteful number, since it uses less digits than its factorization.

12426519168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220175 (or 220153 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 12426519168 in words is "twelve billion, four hundred twenty-six million, five hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 220141 440282 660423 880564 1320846 1540987 1761128 1981269 2641692 3081974 3522256 3962538 4622961 5283384 6163948 7044512 7925076 9245922 10566768 10786909 12327896 13868883 14089024 15850152 18491844 21133536 21573818 24655792 27737766 28178048 31700304 32360727 36983688 42267072 43147636 49311584 55475532 63400608 64721454 73967376 84534144 86295272 97082181 98623168 110951064 126801216 129442908 147934752 172590544 194164362 197246336 221902128 253602432 258885816 295869504 345181088 388328724 443804256 517771632 591739008 690362176 776657448 887608512 1035543264 1380724352 1553314896 1775217024 2071086528 3106629792 4142173056 6213259584 12426519168