Search a number
-
+
5050505505006 = 23213173011421657
BaseRepresentation
bin100100101111110100110…
…0101100010100011101110
3122212211020102010121112200
41021133221211202203232
51130221413402130011
614424100432442330
71030613143320333
oct111375145424356
918784212117480
105050505505006
1116779a8766a45
126969a40a93a6
132a8350795980
141366352a298a
158b59666a856
hex497e99628ee

5050505505006 has 96 divisors (see below), whose sum is σ = 12481893129888. Its totient is φ = 1462100613120.

The previous prime is 5050505504981. The next prime is 5050505505007. The reversal of 5050505505006 is 6005055050505.

5050505505006 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 50 + 550 + 50 + 0 + 6 = 666.

It is a super-2 number, since 2×50505055050062 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5050505505007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11766930 + ... + 12188586.

It is an arithmetic number, because the mean of its divisors is an integer number (130019720103).

Almost surely, 25050505505006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5050505505006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240946564944).

5050505505006 is an abundant number, since it is smaller than the sum of its proper divisors (7431387624882).

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

5050505505006 is a wasteful number, since it uses less digits than its factorization.

5050505505006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424706 (or 424703 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 5050505505006 in words is "five trillion, fifty billion, five hundred five million, five hundred five thousand, six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3011 3978 6022 9033 18066 27099 39143 51187 54198 78286 102374 117429 153561 234858 307122 352287 421657 460683 665431 704574 843314 921366 1264971 1330862 1996293 2529942 3794913 3992586 5481541 5988879 7168169 7589826 10963082 11977758 14336338 16444623 21504507 32889246 43009014 49333869 64513521 93186197 98667738 129027042 186372394 279558591 559117182 838675773 1269609227 1677351546 2539218454 3808827681 7617655362 11426483043 16504919951 21583356859 22852966086 33009839902 43166713718 49514759853 64750070577 99029519706 129500141154 148544279559 194250211731 280583639167 297088559118 388500423462 561167278334 841750917501 1683501835002 2525252752503 5050505505006