Search a number
-
+
51280204220 = 225721371931979
BaseRepresentation
bin101111110000100010…
…011101000110111100
311220100210202021122222
4233300202131012330
51320010213013340
635320252424512
73463525354400
oct576042350674
9156323667588
1051280204220
111a82537a473
129b31778138
134ab306650b
1426a677b100
151501e748b5
hexbf089d1bc

51280204220 has 144 divisors (see below), whose sum is σ = 126902492640. Its totient is φ = 17354244096.

The previous prime is 51280204193. The next prime is 51280204253. The reversal of 51280204220 is 2240208215.

It is a self number, because there is not a number n which added to its sum of digits gives 51280204220.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25911191 + ... + 25913169.

It is an arithmetic number, because the mean of its divisors is an integer number (881267310).

Almost surely, 251280204220 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 51280204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63451246320).

51280204220 is an abundant number, since it is smaller than the sum of its proper divisors (75622288420).

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

51280204220 is a wasteful number, since it uses less digits than its factorization.

51280204220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 51280204220 in words is "fifty-one billion, two hundred eighty million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 193 196 245 274 386 490 548 685 772 959 965 980 1351 1370 1918 1930 1979 2702 2740 3836 3860 3958 4795 5404 6713 6755 7916 9457 9590 9895 13426 13510 13853 18914 19180 19790 26441 26852 27020 27706 33565 37828 39580 47285 52882 55412 67130 69265 94570 96971 105764 132205 134260 138530 185087 189140 193942 264410 271123 277060 370174 381947 387884 484855 528820 542246 740348 763894 925435 969710 1084492 1295609 1355615 1527788 1850870 1897861 1909735 1939420 2591218 2673629 2711230 3701740 3795722 3819470 5182436 5347258 5422460 6478045 7591444 7638940 9489305 10694516 12956090 13285027 13368145 18715403 18978610 25912180 26570054 26736290 37430806 37957220 52326739 53140108 53472580 66425135 74861612 93577015 104653478 132850270 187154030 209306956 261633695 265700540 366287173 374308060 523267390 732574346 1046534780 1465148692 1831435865 2564010211 3662871730 5128020422 7325743460 10256040844 12820051055 25640102110 51280204220