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12450424346016 = 2531038771435741
BaseRepresentation
bin1011010100101101011100…
…0111101101010110100000
31122002020201110221122201020
42311023113013231112200
53112441432113033031
642251351311005440
72423341056540456
oct265132707552640
948066643848636
1012450424346016
113a70216a63738
121490b85b09880
136c40ba984857
143108649b29d6
15168ce6581096
hexb52d71ed5a0

12450424346016 has 96 divisors (see below), whose sum is σ = 33037319323008. Its totient is φ = 4105159695360.

The previous prime is 12450424345991. The next prime is 12450424346039. The reversal of 12450424346016 is 61064342405421.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7953906 + ... + 9389646.

It is an arithmetic number, because the mean of its divisors is an integer number (344138742948).

Almost surely, 212450424346016 is an apocalyptic number.

12450424346016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12450424346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518659661504).

12450424346016 is an abundant number, since it is smaller than the sum of its proper divisors (20586894976992).

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

12450424346016 is a wasteful number, since it uses less digits than its factorization.

12450424346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436734 (or 1436726 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 12450424346016 in words is "twelve trillion, four hundred fifty billion, four hundred twenty-four million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 877 1236 1648 1754 2472 2631 3296 3508 4944 5262 7016 9888 10524 14032 21048 28064 42096 84192 90331 180662 270993 361324 541986 722648 1083972 1435741 1445296 2167944 2871482 2890592 4307223 4335888 5742964 8614446 8671776 11485928 17228892 22971856 34457784 45943712 68915568 137831136 147881323 295762646 443643969 591525292 887287938 1183050584 1259144857 1774575876 2366101168 2518289714 3549151752 3777434571 4732202336 5036579428 7098303504 7554869142 10073158856 14196607008 15109738284 20146317712 30219476568 40292635424 60438953136 120877906272 129691920271 259383840542 389075760813 518767681084 778151521626 1037535362168 1556303043252 2075070724336 3112606086504 4150141448672 6225212173008 12450424346016