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18129269739900 = 223521131177216713
BaseRepresentation
bin1000001111101000011001…
…01011101101000101111100
32101012010210222102211210010
410013310030223231011330
54334012221023134100
6102320245504143220
73550540130125644
oct407641453550574
971163728384703
1018129269739900
11585a642159140
1220496a7907b10
13a1677654b627
14469665ca3524
152168b5a6d750
hex107d0caed17c

18129269739900 has 144 divisors (see below), whose sum is σ = 59068457376768. Its totient is φ = 4253201088000.

The previous prime is 18129269739899. The next prime is 18129269739943. The reversal of 18129269739900 is 993796292181.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88506057 + ... + 88710656.

It is an arithmetic number, because the mean of its divisors is an integer number (410197620672).

Almost surely, 218129269739900 is an apocalyptic number.

18129269739900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18129269739900 is an abundant number, since it is smaller than the sum of its proper divisors (40939187636868).

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

18129269739900 is a wasteful number, since it uses less digits than its factorization.

18129269739900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177216772 (or 177216765 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 66.

The spelling of 18129269739900 in words is "eighteen trillion, one hundred twenty-nine billion, two hundred sixty-nine million, seven hundred thirty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 177216713 354433426 531650139 708866852 886083565 1063300278 1772167130 1949383843 2126600556 2658250695 3544334260 3898767686 4430417825 5316501390 5493718103 5848151529 7797535372 8860835650 9746919215 10633002780 10987436206 11696303058 13291253475 16481154309 17721671300 19493838430 21974872412 23392606116 26582506950 27468590515 29240757645 32962308618 38987676860 48734596075 53165013900 54937181030 58481515290 60430899133 65924617236 82405771545 97469192150 109874362060 116963030580 120861798266 137342952575 146203788225 164811543090 181292697399 194938384300 241723596532 274685905150 292407576450 302154495665 329623086180 362585394798 412028857725 549371810300 584815152900 604308991330 725170789596 824057715450 906463486995 1208617982660 1510772478325 1648115430900 1812926973990 3021544956650 3625853947980 4532317434975 6043089913300 9064634869950 18129269739900