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5105150542520 = 2357293531781057
BaseRepresentation
bin100101001001010001010…
…1011110100001010111000
3200002001021201102010201222
41022102202223310022320
51132120322014330040
614505135045331212
71034556250424450
oct112224253641270
920061251363658
105105150542520
11169909a432476
126a54b4706b08
132b054b9913b2
1413913a894d60
158cbe3becbb5
hex4a4a2af42b8

5105150542520 has 128 divisors (see below), whose sum is σ = 13618681891200. Its totient is φ = 1685192441856.

The previous prime is 5105150542507. The next prime is 5105150542529. The reversal of 5105150542520 is 252450515015.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105150542529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1975832 + ... + 3756888.

It is an arithmetic number, because the mean of its divisors is an integer number (106395952275).

Almost surely, 25105150542520 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 5105150542520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809340945600).

5105150542520 is an abundant number, since it is smaller than the sum of its proper divisors (8513531348680).

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

5105150542520 is a wasteful number, since it uses less digits than its factorization.

5105150542520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781457 (or 1781453 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 35.

The spelling of 5105150542520 in words is "five trillion, one hundred five billion, one hundred fifty million, five hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 353 406 580 706 812 1015 1160 1412 1624 1765 2030 2471 2824 3530 4060 4942 7060 8120 9884 10237 12355 14120 19768 20474 24710 40948 49420 51185 71659 81896 98840 102370 143318 204740 286636 358295 409480 573272 716590 1433180 1781057 2866360 3562114 7124228 8905285 12467399 14248456 17810570 24934798 35621140 49869596 51650653 62336995 71242280 99739192 103301306 124673990 206602612 249347980 258253265 361554571 413205224 498695960 516506530 628713121 723109142 1033013060 1257426242 1446218284 1807772855 2066026120 2514852484 2892436568 3143565605 3615545710 4400991847 5029704968 6287131210 7231091420 8801983694 12574262420 14462182840 17603967388 18232680509 22004959235 25148524840 35207934776 36465361018 44009918470 72930722036 88019836940 91163402545 127628763563 145861444072 176039673880 182326805090 255257527126 364653610180 510515054252 638143817815 729307220360 1021030108504 1276287635630 2552575271260 5105150542520