Search a number
-
+
18213630585940 = 2254147210055113
BaseRepresentation
bin1000010010000101100001…
…11110110010110001010100
32101111012120020020211221101
410021002300332302301110
54341403003412222230
6102423120521555444
73556614513363256
oct411026076626124
971435506224841
1018213630585940
1158923a2701409
122061b10045b84
13a216cbc879ca
1446d789c83cd6
15218ba1cdeaca
hex1090b0fb2c54

18213630585940 has 72 divisors (see below), whose sum is σ = 40032908013672. Its totient is φ = 6956528686080.

The previous prime is 18213630585937. The next prime is 18213630585949. The reversal of 18213630585940 is 4958503631281.

It can be written as a sum of positive squares in 4 ways, for example, as 358087347216 + 17855543238724 = 598404^2 + 4225582^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18213630585949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3216177 + ... + 6838936.

It is an arithmetic number, because the mean of its divisors is an integer number (556012611301).

Almost surely, 218213630585940 is an apocalyptic number.

18213630585940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18213630585940 is an abundant number, since it is smaller than the sum of its proper divisors (21819277427732).

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

18213630585940 is a wasteful number, since it uses less digits than its factorization.

18213630585940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055257 (or 10055208 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 18213630585940 in words is "eighteen trillion, two hundred thirteen billion, six hundred thirty million, five hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1927 2209 3854 4418 7708 8836 9635 11045 19270 22090 38540 44180 90569 181138 362276 452845 905690 1811380 10055113 20110226 40220452 50275565 100551130 201102260 412259633 472590311 824519266 945180622 1649038532 1890361244 2061298165 2362951555 4122596330 4725903110 8245192660 9451806220 19376202751 22211744617 38752405502 44423489234 77504811004 88846978468 96881013755 111058723085 193762027510 222117446170 387524055020 444234892340 910681529297 1821363058594 3642726117188 4553407646485 9106815292970 18213630585940