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18205957720336 = 24193255272
BaseRepresentation
bin1000010001110111001111…
…01001001000100100010000
32101110110202111101220001211
410020323213221020210100
54341241300134022321
6102415411305505504
73556223414164561
oct410734751104420
971413674356054
1018205957720336
11588a115560971
12206052a4a2294
13a20a78453249
1446d25cc14168
152188a33b30e1
hex108ee7a48910

18205957720336 has 45 divisors (see below), whose sum is σ = 35464173657381. Its totient is φ = 9054174698496.

The previous prime is 18205957720331. The next prime is 18205957720337. The reversal of 18205957720336 is 63302775950281.

It is a happy number.

The square root of 18205957720336 is 4266844.

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

It can be written as a sum of positive squares in only one way, i.e., 4411092067600 + 13794865652736 = 2100260^2 + 3714144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18205957720331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3294000805 + ... + 3294006331.

Almost surely, 218205957720336 is an apocalyptic number.

18205957720336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18205957720336 is the 4266844-th square number.

It is an amenable number.

18205957720336 is a deficient number, since it is larger than the sum of its proper divisors (17258215937045).

18205957720336 is an frugal number, since it uses more digits than its factorization.

18205957720336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11448 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 58.

The spelling of 18205957720336 in words is "eighteen trillion, two hundred five billion, nine hundred fifty-seven million, seven hundred twenty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 193 386 772 1544 3088 5527 11054 22108 37249 44216 74498 88432 148996 297992 595984 1066711 2133422 4266844 8533688 17067376 30547729 61095458 122190916 205875223 244381832 411750446 488763664 823500892 1647001784 3294003568 5895711697 11791423394 23582846788 47165693576 94331387152 1137872357521 2275744715042 4551489430084 9102978860168 18205957720336