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18904866000 = 2435322913759
BaseRepresentation
bin10001100110110100…
…010101110011010000
31210210111211200211020
4101212310111303100
5302204121203000
612403524515440
71236323465256
oct214664256320
953714750736
1018904866000
1180213386a9
1237b724bb80
131a2383ba57
14cb4a925d6
15759a46ba0
hex466d15cd0

18904866000 has 160 divisors (see below), whose sum is σ = 61219891200. Its totient is φ = 5018918400.

The previous prime is 18904865981. The next prime is 18904866007. The reversal of 18904866000 is 66840981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18904866007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1367121 + ... + 1380879.

It is an arithmetic number, because the mean of its divisors is an integer number (382624320).

Almost surely, 218904866000 is an apocalyptic number.

18904866000 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 18904866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609945600).

18904866000 is an abundant number, since it is smaller than the sum of its proper divisors (42315025200).

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

18904866000 is a wasteful number, since it uses less digits than its factorization.

18904866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14014 (or 13998 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 18904866000 in words is "eighteen billion, nine hundred four million, eight hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 229 240 250 300 375 400 458 500 600 687 750 916 1000 1145 1200 1374 1500 1832 2000 2290 2748 3000 3435 3664 4580 5496 5725 6000 6870 9160 10992 11450 13740 13759 17175 18320 22900 27480 27518 28625 34350 41277 45800 54960 55036 57250 68700 68795 82554 85875 91600 110072 114500 137400 137590 165108 171750 206385 220144 229000 274800 275180 330216 343500 343975 412770 458000 550360 660432 687000 687950 825540 1031925 1100720 1374000 1375900 1651080 1719875 2063850 2751800 3150811 3302160 3439750 4127700 5159625 5503600 6301622 6879500 8255400 9452433 10319250 12603244 13759000 15754055 16510800 18904866 20638500 25206488 27518000 31508110 37809732 41277000 47262165 50412976 63016220 75619464 78770275 82554000 94524330 126032440 151238928 157540550 189048660 236310825 252064880 315081100 378097320 393851375 472621650 630162200 756194640 787702750 945243300 1181554125 1260324400 1575405500 1890486600 2363108250 3150811000 3780973200 4726216500 6301622000 9452433000 18904866000