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18231696421380 = 223251349331579429
BaseRepresentation
bin1000010010100111001011…
…10010011111001000000100
32101112221012021022101012200
410021103211302133020010
54342202003240441010
6102435305315314500
73561124301425401
oct411234562371004
971487167271180
1018231696421380
11589a02336aa22
1220655122aba30
13a2331aa29370
144705c132b2a8
152193acd4ecc0
hex1094e5c9f204

18231696421380 has 144 divisors (see below), whose sum is σ = 59568985847280. Its totient is φ = 4486889604096.

The previous prime is 18231696421349. The next prime is 18231696421381. The reversal of 18231696421380 is 8312469613281.

It is a happy number.

18231696421380 is a `hidden beast` number, since 1 + 8 + 23 + 169 + 6 + 421 + 38 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5639361570756 + 12592334850624 = 2374734^2 + 3548568^2 .

It is a super-2 number, since 2×182316964213802 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18231696421381) 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 47 ways as a sum of consecutive naturals, for example, 10753506 + ... + 12332934.

Almost surely, 218231696421380 is an apocalyptic number.

18231696421380 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 18231696421380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29784492923640).

18231696421380 is an abundant number, since it is smaller than the sum of its proper divisors (41337289425900).

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

18231696421380 is a wasteful number, since it uses less digits than its factorization.

18231696421380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584390 (or 1584385 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 18231696421380 in words is "eighteen trillion, two hundred thirty-one billion, six hundred ninety-six million, four hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4933 9866 14799 19732 24665 29598 44397 49330 59196 64129 73995 88794 98660 128258 147990 177588 192387 221985 256516 295980 320645 384774 443970 577161 641290 769548 887940 961935 1154322 1282580 1579429 1923870 2308644 2885805 3158858 3847740 4738287 5771610 6317716 7897145 9476574 11543220 14214861 15794290 18953148 20532577 23691435 28429722 31588580 41065154 47382870 56859444 61597731 71074305 82130308 94765740 102662885 123195462 142148610 184793193 205325770 246390924 284297220 307988655 369586386 410651540 615977310 739172772 923965965 1231954620 1847931930 3695863860 7791323257 15582646514 23373969771 31165293028 38956616285 46747939542 70121909313 77913232570 93495879084 101287202341 116869848855 140243818626 155826465140 202574404682 233739697710 280487637252 303861607023 350609546565 405148809364 467479395420 506436011705 607723214046 701219093130 911584821069 1012872023410 1215446428092 1402438186260 1519308035115 1823169642138 2025744046820 3038616070230 3646339284276 4557924105345 6077232140460 9115848210690 18231696421380