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218468368836 = 223423211292
BaseRepresentation
bin1100101101110110111…
…0101100000111000100
3202212220102210000210000
43023131232230013010
512034410400300321
6244210223201300
721532564331634
oct3133556540704
9685812700700
10218468368836
1184719776043
1236410746230
13177a85ab283
14a806bcc6c4
155a399e8826
hex32ddbac1c4

218468368836 has 135 divisors (see below), whose sum is σ = 597559654461. Its totient is φ = 69594883776.

The previous prime is 218468368753. The next prime is 218468368871. The reversal of 218468368836 is 638863864812.

The square root of 218468368836 is 467406.

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

218468368836 is a `hidden beast` number, since 2 + 184 + 68 + 368 + 8 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18552074436 + 199916294400 = 136206^2 + 447120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 193505520 + ... + 193506648.

Almost surely, 2218468368836 is an apocalyptic number.

218468368836 is the 467406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218468368836

218468368836 is an abundant number, since it is smaller than the sum of its proper divisors (379091285625).

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

218468368836 is an equidigital number, since it uses as much as digits as its factorization.

218468368836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 1157 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 218468368836 in words is "two hundred eighteen billion, four hundred sixty-eight million, three hundred sixty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1129 1242 1587 1863 2116 2258 2484 3174 3387 3726 4516 4761 6348 6774 7452 9522 10161 13548 14283 19044 20322 25967 28566 30483 40644 42849 51934 57132 60966 77901 85698 91449 103868 121932 155802 171396 182898 233703 311604 365796 467406 597241 701109 934812 1194482 1274641 1402218 1791723 2103327 2388964 2549282 2804436 3583446 3823923 4206654 5098564 5375169 7166892 7647846 8413308 10750338 11471769 15295692 16125507 21500676 22943538 29316743 32251014 34415307 45887076 48376521 58633486 64502028 68830614 87950229 96753042 103245921 117266972 137661228 175900458 193506084 206491842 263850687 351800916 412983684 527701374 674285089 791552061 1055402748 1348570178 1583104122 2022855267 2374656183 2697140356 3166208244 4045710534 4749312366 6068565801 8091421068 9498624732 12137131602 18205697403 24274263204 36411394806 54617092209 72822789612 109234184418 218468368836