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212244395218760 = 2351072391543134471
BaseRepresentation
bin110000010000100011111111…
…110010000101011101001000
31000211111100212211102122000202
4300100203333302011131020
5210304403010134000020
62031223421253151332
762464102654400642
oct6020437762053510
91024440784378022
10212244395218760
116169a3849a0293
121b97a47662b548
1391577397cab38
143a5a97d8c3892
151980e6cc0ce75
hexc108ffc85748

212244395218760 has 128 divisors (see below), whose sum is σ = 484347058790400. Its totient is φ = 83697518795520.

The previous prime is 212244395218741. The next prime is 212244395218763. The reversal of 212244395218760 is 67812593442212.

It is a junction number, because it is equal to n+sod(n) for n = 212244395218696 and 212244395218705.

It is not an unprimeable number, because it can be changed into a prime (212244395218763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1578298325 + ... + 1578432795.

It is an arithmetic number, because the mean of its divisors is an integer number (3783961396800).

It is a 1-persistent number, because it is pandigital, but 2⋅212244395218760 = 424488790437520 is not.

Almost surely, 2212244395218760 is an apocalyptic number.

212244395218760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212244395218760 is an abundant number, since it is smaller than the sum of its proper divisors (272102663571640).

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

212244395218760 is a wasteful number, since it uses less digits than its factorization.

212244395218760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136371 (or 136367 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 212244395218760 in words is "two hundred twelve trillion, two hundred forty-four billion, three hundred ninety-five million, two hundred eighteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 107 214 239 428 478 535 856 956 1070 1195 1543 1912 2140 2390 3086 4280 4780 6172 7715 9560 12344 15430 25573 30860 51146 61720 102292 127865 134471 165101 204584 255730 268942 330202 368777 511460 537884 660404 672355 737554 825505 1022920 1075768 1320808 1344710 1475108 1651010 1843885 2689420 2950216 3302020 3687770 5378840 6604040 7375540 14388397 14751080 28776794 32138569 39459139 57553588 64277138 71941985 78918278 115107176 128554276 143883970 157836556 160692845 197295695 207488753 257108552 287767940 315673112 321385690 394591390 414977506 575535880 642771380 789182780 829955012 1037443765 1285542760 1578365560 1659910024 2074887530 3438826883 4149775060 6877653766 8299550120 13755307532 17194134415 22201296571 27510615064 34388268830 44402593142 49589811967 68776537660 88805186284 99179623934 111006482855 137553075320 177610372568 198359247868 222012965710 247949059835 396718495736 444025931420 495898119670 888051862840 991796239340 1983592478680 5306109880469 10612219760938 21224439521876 26530549402345 42448879043752 53061098804690 106122197609380 212244395218760