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12443066314625 = 535322931725873
BaseRepresentation
bin1011010100010010000010…
…0011000010111110000001
31122001112201200111221012002
42311010200203002332001
53112331344434032000
642244133222513345
72422660532364062
oct265044043027601
948045650457162
1012443066314625
113a680905a9861
12148b671895855
136c34b7442c1b
14310367698569
15168a155e38d5
hexb51208c2f81

12443066314625 has 64 divisors (see below), whose sum is σ = 15941782808640. Its totient is φ = 9692934451200.

The previous prime is 12443066314621. The next prime is 12443066314747. The reversal of 12443066314625 is 52641366034421.

It can be written as a sum of positive squares in 32 ways, for example, as 11548905063424 + 894161251201 = 3398368^2 + 945601^2 .

It is not a de Polignac number, because 12443066314625 - 22 = 12443066314621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12443066314625.

It is not an unprimeable number, because it can be changed into a prime (12443066314621) 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 63 ways as a sum of consecutive naturals, for example, 480915689 + ... + 480941561.

It is an arithmetic number, because the mean of its divisors is an integer number (249090356385).

Almost surely, 212443066314625 is an apocalyptic number.

It is an amenable number.

12443066314625 is a deficient number, since it is larger than the sum of its proper divisors (3498716494015).

12443066314625 is a wasteful number, since it uses less digits than its factorization.

12443066314625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26487 (or 26477 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 12443066314625 in words is "twelve trillion, four hundred forty-three billion, sixty-six million, three hundred fourteen thousand, six hundred twenty-five".

Divisors: 1 5 25 53 125 229 265 317 1145 1325 1585 5725 6625 7925 12137 16801 25873 28625 39625 60685 72593 84005 129365 303425 362965 420025 646825 1371269 1517125 1814825 2100125 3234125 3847429 5924917 6856345 8201741 9074125 19237145 29624585 34281725 41008705 96185725 148122925 171408625 205043525 314020601 434692273 480928625 740614625 1025217625 1570103005 1878198689 2173461365 7850515025 9390993445 10867306825 39252575125 46954967225 54336534125 99544530517 234774836125 497722652585 2488613262925 12443066314625