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18642018742000 = 2453231025939503
BaseRepresentation
bin1000011110100011011101…
…11001111010111011110000
32110000011022100010222002121
410033101232321322323300
54420412323244221000
6103352005234524024
73632561413543543
oct417215671727360
973004270128077
1018642018742000
115a38043646605
122110b46436614
13a52c1ca69414
144863c839685a
15224dc5a73b1a
hex10f46ee7aef0

18642018742000 has 160 divisors (see below), whose sum is σ = 47042020546560. Its totient is φ = 7131722681600.

The previous prime is 18642018741953. The next prime is 18642018742043. The reversal of 18642018742000 is 24781024681.

It is a congruent number.

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, 471894249 + ... + 471933751.

It is an arithmetic number, because the mean of its divisors is an integer number (294012628416).

Almost surely, 218642018742000 is an apocalyptic number.

18642018742000 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 18642018742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23521010273280).

18642018742000 is an abundant number, since it is smaller than the sum of its proper divisors (28400001804560).

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

18642018742000 is a wasteful number, since it uses less digits than its factorization.

18642018742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49808 (or 49792 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

Adding to 18642018742000 its reverse (24781024681), we get a palindrome (18666799766681).

The spelling of 18642018742000 in words is "eighteen trillion, six hundred forty-two billion, eighteen million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 10259 11500 20518 23000 39503 41036 46000 51295 79006 82072 102590 158012 164144 197515 205180 235957 256475 316024 395030 410360 471914 512950 632048 790060 820720 908569 943828 987575 1025900 1179785 1282375 1580120 1817138 1887656 1975150 2051800 2359570 2564750 3160240 3634276 3775312 3950300 4103600 4542845 4719140 4937875 5129500 5898925 7268552 7900600 9085690 9438280 9875750 10259000 11797850 14537104 15801200 18171380 18876560 19751500 20518000 22714225 23595700 29494625 36342760 39503000 45428450 47191400 58989250 72685520 79006000 90856900 94382800 113571125 117978500 181713800 227142250 235957000 363427600 405261277 454284500 471914000 810522554 908569000 1621045108 1817138000 2026306385 3242090216 4052612770 6484180432 8105225540 9321009371 10131531925 16210451080 18642018742 20263063850 32420902160 37284037484 40526127700 46605046855 50657659625 74568074968 81052255400 93210093710 101315319250 149136149936 162104510800 186420187420 202630638500 233025234275 372840374840 405261277000 466050468550 745680749680 810522554000 932100937100 1165126171375 1864201874200 2330252342750 3728403748400 4660504685500 9321009371000 18642018742000