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199846330020 = 223257995314747
BaseRepresentation
bin1011101000011111000…
…1001111111010100100
3201002211122010102220200
42322013301033322210
511233241130030040
6231450320230500
720303243530401
oct2720761177244
9632748112820
10199846330020
1177833052717
123289416b430
1315acb5369ac
14995b91d2a8
1552e9c1c630
hex2e87c4fea4

199846330020 has 144 divisors (see below), whose sum is σ = 614559778560. Its totient is φ = 52558990848.

The previous prime is 199846329997. The next prime is 199846330067. The reversal of 199846330020 is 20033648991.

It is a happy number.

199846330020 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 4 + 633 + 0 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13544287 + ... + 13559033.

It is an arithmetic number, because the mean of its divisors is an integer number (4267776240).

Almost surely, 2199846330020 is an apocalyptic number.

199846330020 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 199846330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307279889280).

199846330020 is an abundant number, since it is smaller than the sum of its proper divisors (414713448540).

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

199846330020 is a wasteful number, since it uses less digits than its factorization.

199846330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15794 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 199846330020 in words is "one hundred ninety-nine billion, eight hundred forty-six million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 953 1185 1422 1580 1906 2370 2844 2859 3555 3812 4740 4765 5718 7110 8577 9530 11436 14220 14295 14747 17154 19060 28590 29494 34308 42885 44241 57180 58988 73735 75287 85770 88482 132723 147470 150574 171540 176964 221205 225861 265446 294940 301148 376435 442410 451722 530892 663615 677583 752870 884820 903444 1129305 1165013 1327230 1355166 1505740 2258610 2330026 2654460 2710332 3387915 3495039 4517220 4660052 5825065 6775830 6990078 10485117 11650130 13551660 13980156 14053891 17475195 20970234 23300260 28107782 34950390 41940468 42161673 52425585 56215564 69900780 70269455 84323346 104851170 126485019 140538910 168646692 209702340 210808365 252970038 281077820 421616730 505940076 632425095 843233460 1110257389 1264850190 2220514778 2529700380 3330772167 4441029556 5551286945 6661544334 9992316501 11102573890 13323088668 16653860835 19984633002 22205147780 33307721670 39969266004 49961582505 66615443340 99923165010 199846330020