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12426425350304 = 257373494296067
BaseRepresentation
bin1011010011010100000010…
…1010110011100010100000
31121222221202221121100122012
42310311000222303202200
53112043304342202204
642232342045132052
72421531255462110
oct264650052634240
947887687540565
1012426425350304
113a61021176a89
1214883a885a028
136c1a6494a684
1430d629559040
1516838e6dc76e
hexb4d40ab38a0

12426425350304 has 96 divisors (see below), whose sum is σ = 28797403017600. Its totient is φ = 5166827025408.

The previous prime is 12426425350301. The next prime is 12426425350307. The reversal of 12426425350304 is 40305352462421.

It is an interprime number because it is at equal distance from previous prime (12426425350301) and next prime (12426425350307).

It is a super-2 number, since 2×124264253503042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12426425350301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744479 + ... + 5040545.

It is an arithmetic number, because the mean of its divisors is an integer number (299972948100).

Almost surely, 212426425350304 is an apocalyptic number.

12426425350304 is a gapful number since it is divisible by the number (14) 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 12426425350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14398701508800).

12426425350304 is an abundant number, since it is smaller than the sum of its proper divisors (16370977667296).

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

12426425350304 is a wasteful number, since it uses less digits than its factorization.

12426425350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296470 (or 4296462 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 12426425350304 in words is "twelve trillion, four hundred twenty-six billion, four hundred twenty-five million, three hundred fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 349 518 592 698 1036 1184 1396 2072 2443 2792 4144 4886 5584 8288 9772 11168 12913 19544 25826 39088 51652 78176 90391 103304 180782 206608 361564 413216 723128 1446256 2892512 4296067 8592134 17184268 30072469 34368536 60144938 68737072 120289876 137474144 158954479 240579752 317908958 481159504 635817916 962319008 1112681353 1271635832 1499327383 2225362706 2543271664 2998654766 4450725412 5086543328 5997309532 8901450824 10495291681 11994619064 17802901648 20990583362 23989238128 35605803296 41981166724 47978476256 55475113171 83962333448 110950226342 167924666896 221900452684 335849333792 388325792197 443800905368 776651584394 887601810736 1553303168788 1775203621472 3106606337576 6213212675152 12426425350304