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12427982244 = 22323719734729
BaseRepresentation
bin10111001001100001…
…11111010110100100
31012002010102220121200
423210300333112210
5200423030412434
65413114442500
7616656051246
oct134460772644
935063386550
1012427982244
1152a82aa007
1224aa133430
131230a22862
1485c7c8096
154cb110199
hex2e4c3f5a4

12427982244 has 72 divisors (see below), whose sum is σ = 32287415160. Its totient is φ = 4027802112.

The previous prime is 12427982221. The next prime is 12427982257. The reversal of 12427982244 is 44228972421.

It can be written as a sum of positive squares in 4 ways, for example, as 270273600 + 12157708644 = 16440^2 + 110262^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12427982244.

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, 2625672 + ... + 2630400.

Almost surely, 212427982244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12427982244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16143707580).

12427982244 is an abundant number, since it is smaller than the sum of its proper divisors (19859432916).

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

12427982244 is a wasteful number, since it uses less digits than its factorization.

12427982244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6744 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 12427982244 in words is "twelve billion, four hundred twenty-seven million, nine hundred eighty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1973 3946 4729 5919 7892 9458 11838 14187 17757 18916 23676 28374 35514 42561 56748 71028 73001 85122 146002 170244 174973 219003 292004 349946 438006 524919 657009 699892 876012 1049838 1314018 1574757 2099676 2628036 3149514 6299028 9330317 18660634 27990951 37321268 55981902 83972853 111963804 167945706 335891412 345221729 690443458 1035665187 1380886916 2071330374 3106995561 4142660748 6213991122 12427982244