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425565398784 = 28317149218761
BaseRepresentation
bin1100011000101011010…
…11001010011100000000
31111200110101101012010110
412030111223022130000
523433024220230114
6523300235231320
742513623130231
oct6142553123400
91450411335113
10425565398784
11154532633949
126a588ba8540
1331191047046
1416851687088
15b10b051759
hex6315aca700

425565398784 has 144 divisors (see below), whose sum is σ = 1207303725600. Its totient is φ = 132614062080.

The previous prime is 425565398773. The next prime is 425565398789. The reversal of 425565398784 is 487893565524.

It is a super-2 number, since 2×4255653987842 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425565398789) 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, 1835964 + ... + 2054724.

It is an arithmetic number, because the mean of its divisors is an integer number (8384053650).

Almost surely, 2425565398784 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 425565398784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603651862800).

425565398784 is an abundant number, since it is smaller than the sum of its proper divisors (781738326816).

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

425565398784 is a wasteful number, since it uses less digits than its factorization.

425565398784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218946 (or 218932 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 66.

The spelling of 425565398784 in words is "four hundred twenty-five billion, five hundred sixty-five million, three hundred ninety-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 149 192 204 256 272 298 384 408 447 544 596 768 816 894 1088 1192 1632 1788 2176 2384 2533 3264 3576 4352 4768 5066 6528 7152 7599 9536 10132 13056 14304 15198 19072 20264 28608 30396 38144 40528 57216 60792 81056 114432 121584 162112 218761 243168 324224 437522 486336 648448 656283 875044 972672 1312566 1750088 1945344 2625132 3500176 3718937 5250264 7000352 7437874 10500528 11156811 14000704 14875748 21001056 22313622 28001408 29751496 32595389 42002112 44627244 56002816 59502992 65190778 84004224 89254488 97786167 119005984 130381556 168008448 178508976 195572334 238011968 260763112 357017952 391144668 476023936 521526224 554121613 714035904 782289336 952047872 1043052448 1108243226 1428071808 1564578672 1662364839 2086104896 2216486452 2856143616 3129157344 3324729678 4172209792 4432972904 6258314688 6649459356 8344419584 8865945808 12516629376 13298918712 17731891616 25033258752 26597837424 35463783232 53195674848 70927566464 106391349696 141855132928 212782699392 425565398784