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19928991090 = 2355979359397
BaseRepresentation
bin10010100011110111…
…000100010101110010
31220102212220122100010
4102203313010111302
5311303310203330
613053311235350
71303600425561
oct224367042562
956385818303
1019928991090
1184a7439a78
123a42218b56
131b57a74b28
14d70abdbd8
157b98e13b0
hex4a3dc4572

19928991090 has 128 divisors (see below), whose sum is σ = 49517568000. Its totient is φ = 5130867456.

The previous prime is 19928991067. The next prime is 19928991101. The reversal of 19928991090 is 9019982991.

It is a self number, because there is not a number n which added to its sum of digits gives 19928991090.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50198772 + ... + 50199168.

It is an arithmetic number, because the mean of its divisors is an integer number (386856000).

Almost surely, 219928991090 is an apocalyptic number.

19928991090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19928991090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24758784000).

19928991090 is an abundant number, since it is smaller than the sum of its proper divisors (29588576910).

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

19928991090 is a wasteful number, since it uses less digits than its factorization.

19928991090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 944784, while the sum is 57.

The spelling of 19928991090 in words is "nineteen billion, nine hundred twenty-eight million, nine hundred ninety-one thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 59 79 118 158 177 237 295 354 359 395 397 474 590 718 790 794 885 1077 1185 1191 1770 1795 1985 2154 2370 2382 3590 3970 4661 5385 5955 9322 10770 11910 13983 21181 23305 23423 27966 28361 31363 42362 46610 46846 56722 62726 63543 69915 70269 85083 94089 105905 117115 127086 139830 140538 141805 142523 156815 170166 188178 211810 234230 283610 285046 313630 317715 351345 425415 427569 470445 635430 702690 712615 850830 855138 940890 1425230 1673299 1850417 2137845 3346598 3700834 4275690 5019897 5551251 8366495 8408857 9252085 10039794 11102502 11259317 16732990 16817714 18504170 22518634 25099485 25226571 27756255 33777951 42044285 50198970 50453142 55512510 56296585 67555902 84088570 112593170 126132855 168889755 252265710 337779510 664299703 1328599406 1992899109 3321498515 3985798218 6642997030 9964495545 19928991090