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18320411655225 = 325271240192
BaseRepresentation
bin1000010101001100011011…
…01000001111110000111001
32101212102011222200012111100
410022212031220033300321
54400130200340431400
6102544140402522013
73600414610450131
oct412461550176071
971772158605440
1018320411655225
1159237088491a9
12207a750966309
13a2b7b8618584
144749d9751ac1
1521b8514ea100
hex10a98da0fc39

18320411655225 has 81 divisors (see below), whose sum is σ = 33290853149359. Its totient is φ = 9630871168800.

The previous prime is 18320411655211. The next prime is 18320411655251. The reversal of 18320411655225 is 52255611402381.

The square root of 18320411655225 is 4280235.

It is a perfect power (a square), and thus also a powerful number.

18320411655225 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 0 + 4 + 116 + 5 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6595348195881 + 11725063459344 = 2568141^2 + 3424188^2 .

It is not a de Polignac number, because 18320411655225 - 211 = 18320411653177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4558448266 + ... + 4558452284.

Almost surely, 218320411655225 is an apocalyptic number.

18320411655225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18320411655225 is the 4280235-th square number.

18320411655225 is the 2140118-th centered octagonal number.

It is an amenable number.

18320411655225 is a deficient number, since it is larger than the sum of its proper divisors (14970441494134).

18320411655225 is an frugal number, since it uses more digits than its factorization.

18320411655225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 18320411655225 in words is "eighteen trillion, three hundred twenty billion, four hundred eleven million, six hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 75 213 225 355 639 1065 1775 3195 4019 5041 5325 12057 15123 15975 20095 25205 36171 45369 60285 75615 100475 126025 180855 226845 285349 301425 378075 856047 904275 1134225 1426745 2568141 4280235 7133725 12840705 16152361 20259779 21401175 48457083 60779337 64203525 80761805 101298895 145371249 182338011 242285415 303896685 403809025 506494475 726856245 911690055 1146817631 1211427075 1519483425 3440452893 3634281225 4558450275 5734088155 10321358679 17202264465 28670440775 51606793395 81424051801 86011322325 244272155403 258033966975 407120259005 732816466209 1221360777015 2035601295025 3664082331045 6106803885075 18320411655225