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19144207729960 = 235897578398467
BaseRepresentation
bin1000101101001010110111…
…01100111000010100101000
32111210011112202022210022021
410112211123230320110220
510002124314134324320
6104414421055434224
74014060212526265
oct426453354702450
974704482283267
1019144207729960
1161110161a2065
122192338525974
13a8b3a2561431
144a28281cc26c
15232eb894adaa
hex11695bb38528

19144207729960 has 128 divisors (see below), whose sum is σ = 43673134176000. Its totient is φ = 7551734851584.

The previous prime is 19144207729957. The next prime is 19144207729987. The reversal of 19144207729960 is 6992770244191.

19144207729960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 2261033647 + ... + 2261042113.

It is an arithmetic number, because the mean of its divisors is an integer number (341196360750).

Almost surely, 219144207729960 is an apocalyptic number.

19144207729960 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 19144207729960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21836567088000).

19144207729960 is an abundant number, since it is smaller than the sum of its proper divisors (24528926446040).

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

19144207729960 is a wasteful number, since it uses less digits than its factorization.

19144207729960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 19144207729960 in words is "nineteen trillion, one hundred forty-four billion, two hundred seven million, seven hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 757 839 890 1514 1678 1780 3028 3356 3560 3785 4195 6056 6712 7570 8390 8467 15140 16780 16934 30280 33560 33868 42335 67373 67736 74671 84670 134746 149342 169340 269492 298684 336865 338680 373355 538984 597368 635123 673730 746710 753563 1270246 1347460 1493420 1507126 2540492 2694920 2986840 3014252 3175615 3767815 5080984 6028504 6351230 6409519 7103813 7535630 12702460 12819038 14207626 15071260 25404920 25638076 28415252 30142520 32047595 35519065 51276152 56525947 56830504 64095190 71038130 113051894 128190380 142076260 226103788 256380760 282629735 284152520 452207576 565259470 570447191 632239357 1130518940 1140894382 1264478714 2261037880 2281788764 2528957428 2852235955 3161196785 4563577528 5057914856 5377586441 5704471910 6322393570 10755172882 11408943820 12644787140 21510345764 22817887640 25289574280 26887932205 43020691528 53775864410 107551728820 215103457640 478605193249 957210386498 1914420772996 2393025966245 3828841545992 4786051932490 9572103864980 19144207729960