Search a number
-
+
20005440534 = 23337411032371
BaseRepresentation
bin10010101000011010…
…101100110000010110
31220122012202200021000
4102220122230300112
5311432343044114
613105042004130
71305516303342
oct225032546026
956565680230
1020005440534
118536605632
123a63946646
131b6a8610a1
14d7ad00622
157c1492e09
hex4a86acc16

20005440534 has 128 divisors (see below), whose sum is σ = 47245685760. Its totient is φ = 6265900800.

The previous prime is 20005440509. The next prime is 20005440551. The reversal of 20005440534 is 43504450002.

20005440534 is a `hidden beast` number, since 200 + 0 + 54 + 405 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20005440498 and 20005440507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8436369 + ... + 8438739.

It is an arithmetic number, because the mean of its divisors is an integer number (369106920).

Almost surely, 220005440534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005440534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23622842880).

20005440534 is an abundant number, since it is smaller than the sum of its proper divisors (27240245226).

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

20005440534 is a wasteful number, since it uses less digits than its factorization.

20005440534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 20005440534 its reverse (43504450002), we get a palindrome (63509890536).

The spelling of 20005440534 in words is "twenty billion, five million, four hundred forty thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 82 103 111 123 206 222 246 309 333 369 618 666 738 927 999 1107 1517 1854 1998 2214 2371 2781 3034 3811 4223 4551 4742 5562 7113 7622 8446 9102 11433 12669 13653 14226 21339 22866 25338 27306 34299 38007 40959 42678 64017 68598 76014 81918 87727 97211 102897 114021 128034 156251 175454 194422 205794 228042 244213 263181 291633 312502 468753 488426 526362 583266 732639 789543 874899 937506 1406259 1465278 1579086 1749798 2197917 2368629 2624697 2812518 3596807 4218777 4395834 4737258 5249394 6593751 7193614 8437554 9035881 10012733 10790421 13187502 18071762 20025466 21580842 27107643 30038199 32371263 54215286 60076398 64742526 81322929 90114597 97113789 162645858 180229194 194227578 243968787 270343791 370471121 487937574 540687582 740942242 1111413363 2222826726 3334240089 6668480178 10002720267 20005440534