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18390749050240 = 275725211628353
BaseRepresentation
bin1000010111001111011100…
…00100000111010110000000
32102010010201220220002022121
410023213232010013112000
54402303223224101430
6103040332105214024
73605454622444540
oct413475604072600
972103656802277
1018390749050240
115950522436126
122090300791314
13a35317924938
1447818d0b3320
1521d5bb554a7a
hex10b9ee107580

18390749050240 has 128 divisors (see below), whose sum is σ = 50266115565120. Its totient is φ = 6302894653440.

The previous prime is 18390749050183. The next prime is 18390749050243. The reversal of 18390749050240 is 4205094709381.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18390749050243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10479904 + ... + 12108256.

Almost surely, 218390749050240 is an apocalyptic number.

18390749050240 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 18390749050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25133057782560).

18390749050240 is an abundant number, since it is smaller than the sum of its proper divisors (31875366514880).

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

18390749050240 is a wasteful number, since it uses less digits than its factorization.

18390749050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630900 (or 1630888 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 18390749050240 in words is "eighteen trillion, three hundred ninety billion, seven hundred forty-nine million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 2521 4480 5042 10084 12605 17647 20168 25210 35294 40336 50420 70588 80672 88235 100840 141176 161344 176470 201680 282352 322688 352940 403360 564704 705880 806720 1129408 1411760 1613440 1628353 2258816 2823520 3256706 5647040 6513412 8141765 11294080 11398471 13026824 16283530 22796942 26053648 32567060 45593884 52107296 56992355 65134120 91187768 104214592 113984710 130268240 182375536 208429184 227969420 260536480 364751072 455938840 521072960 729502144 911877680 1042145920 1459004288 1823755360 3647510720 4105077913 7295021440 8210155826 16420311652 20525389565 28735545391 32840623304 41050779130 57471090782 65681246608 82101558260 114942181564 131362493216 143677726955 164203116520 229884363128 262724986432 287355453910 328406233040 459768726256 525449972864 574710907820 656812466080 919537452512 1149421815640 1313624932160 1839074905024 2298843631280 2627249864320 3678149810048 4597687262560 9195374525120 18390749050240