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199780211720 = 23517894217841
BaseRepresentation
bin1011101000001111010…
…1000001110000001000
3201002200000201021122202
42322003311001300020
511233122213233340
6231435555135332
720301511531565
oct2720365016010
9632600637582
10199780211720
11777a97a2aa1
1232875ba4548
1315aba926c3b
149952c2b86c
1552e400bc15
hex2e83d41c08

199780211720 has 128 divisors (see below), whose sum is σ = 482499439200. Its totient is φ = 74180198400.

The previous prime is 199780211713. The next prime is 199780211831. The reversal of 199780211720 is 27112087991.

It can be written as a sum of positive squares in 16 ways, for example, as 3391198756 + 196389012964 = 58234^2 + 443158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25475000 + ... + 25482840.

Almost surely, 2199780211720 is an apocalyptic number.

199780211720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199780211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241249719600).

199780211720 is an abundant number, since it is smaller than the sum of its proper divisors (282719227480).

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

199780211720 is a wasteful number, since it uses less digits than its factorization.

199780211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 47.

The spelling of 199780211720 in words is "one hundred ninety-nine billion, seven hundred eighty million, two hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 340 356 421 445 680 712 842 890 1513 1684 1780 2105 3026 3368 3560 4210 6052 7157 7565 7841 8420 12104 14314 15130 15682 16840 28628 30260 31364 35785 37469 39205 57256 60520 62728 71570 74938 78410 133297 143140 149876 156820 187345 266594 286280 299752 313640 374690 533188 636973 666485 697849 749380 1066376 1273946 1332970 1395698 1498760 2547892 2665940 2791396 3184865 3301061 3489245 5095784 5331880 5582792 6369730 6602122 6978490 11863433 12739460 13204244 13956980 16505305 23726866 25478920 26408488 27913960 33010610 47453732 56118037 59317165 66021220 94907464 112236074 118634330 132042440 224472148 237268660 280590185 293794429 448944296 474537320 561180370 587588858 1122360740 1175177716 1468972145 2244721480 2350355432 2937944290 4994505293 5875888580 9989010586 11751777160 19978021172 24972526465 39956042344 49945052930 99890105860 199780211720