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19999810440 = 2334519931019
BaseRepresentation
bin10010101000000101…
…001110001110001000
31220121211011122020000
4102220011032032020
5311424422413230
613104321203000
71305420404151
oct225005161610
956554148200
1019999810440
11853340a665
123a61a90460
131b6963c57c
14d7a276928
157c0c2eb60
hex4a814e388

19999810440 has 160 divisors (see below), whose sum is σ = 67561560000. Its totient is φ = 5306311296.

The previous prime is 19999810433. The next prime is 19999810547. The reversal of 19999810440 is 4401899991.

19999810440 is a `hidden beast` number, since 19 + 99 + 98 + 10 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629251 + ... + 660269.

It is an arithmetic number, because the mean of its divisors is an integer number (422259750).

Almost surely, 219999810440 is an apocalyptic number.

19999810440 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 19999810440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33780780000).

19999810440 is an abundant number, since it is smaller than the sum of its proper divisors (47561749560).

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

19999810440 is a wasteful number, since it uses less digits than its factorization.

19999810440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31241 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 19999810440 in words is "nineteen billion, nine hundred ninety-nine million, eight hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 199 216 270 324 360 398 405 540 597 648 796 810 995 1080 1194 1592 1620 1791 1990 2388 2985 3240 3582 3980 4776 5373 5970 7164 7960 8955 10746 11940 14328 16119 17910 21492 23880 26865 31019 32238 35820 42984 53730 62038 64476 71640 80595 93057 107460 124076 128952 155095 161190 186114 214920 248152 279171 310190 322380 372228 465285 558342 620380 644760 744456 837513 930570 1116684 1240760 1395855 1675026 1861140 2233368 2512539 2791710 3350052 3722280 4187565 5025078 5583420 6172781 6700104 8375130 10050156 11166840 12345562 12562695 16750260 18518343 20100312 24691124 25125390 30863905 33500520 37036686 49382248 50250780 55555029 61727810 74073372 92591715 100501560 111110058 123455620 148146744 166665087 185183430 222220116 246911240 277775145 333330174 370366860 444440232 499995261 555550290 666660348 740733720 833325435 999990522 1111100580 1333320696 1666650870 1999981044 2222201160 2499976305 3333301740 3999962088 4999952610 6666603480 9999905220 19999810440