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18163409100 = 22352197874049
BaseRepresentation
bin10000111010100111…
…111010000011001100
31201212211122210011120
4100322213322003030
5244144313042400
612202200520540
71212051300324
oct207247720314
951784583146
1018163409100
117780853101
12362aa80150
131936045965
14c44406284
157148d5ca0
hex43a9fa0cc

18163409100 has 144 divisors (see below), whose sum is σ = 55402704000. Its totient is φ = 4581688320.

The previous prime is 18163409009. The next prime is 18163409101. The reversal of 18163409100 is 190436181.

It is not an unprimeable number, because it can be changed into a prime (18163409101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4483876 + ... + 4487924.

It is an arithmetic number, because the mean of its divisors is an integer number (384741000).

Almost surely, 218163409100 is an apocalyptic number.

18163409100 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 18163409100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27701352000).

18163409100 is an abundant number, since it is smaller than the sum of its proper divisors (37239294900).

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

18163409100 is a wasteful number, since it uses less digits than its factorization.

18163409100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 18163409100 in words is "eighteen billion, one hundred sixty-three million, four hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 787 950 1140 1425 1574 1900 2361 2850 3148 3935 4049 4722 5700 7870 8098 9444 11805 12147 14953 15740 16196 19675 20245 23610 24294 29906 39350 40490 44859 47220 48588 59025 59812 60735 74765 76931 78700 80980 89718 101225 118050 121470 149530 153862 179436 202450 224295 230793 236100 242940 299060 303675 307724 373825 384655 404900 448590 461586 607350 747650 769310 897180 923172 1121475 1153965 1214700 1495300 1538620 1923275 2242950 2307930 3186563 3846550 4485900 4615860 5769825 6373126 7693100 9559689 11539650 12746252 15932815 19119378 23079300 31865630 38238756 47798445 60544697 63731260 79664075 95596890 121089394 159328150 181634091 191193780 238992225 242178788 302723485 318656300 363268182 477984450 605446970 726536364 908170455 955968900 1210893940 1513617425 1816340910 3027234850 3632681820 4540852275 6054469700 9081704550 18163409100