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18205428635524 = 2213237924332
BaseRepresentation
bin1000010001110110010000…
…00110110101011110000100
32101110102101121211121011001
410020323020012311132010
54341234204212314044
6102415243005423044
73556204331063344
oct410731006653604
971412347747131
1018205428635524
115889973939699
12206040126aa84
13a209c2956900
1446d20c84ad24
15218871c022d4
hex108ec81b5784

18205428635524 has 81 divisors (see below), whose sum is σ = 34670083588623. Its totient is φ = 8360981201664.

The previous prime is 18205428635507. The next prime is 18205428635531. The reversal of 18205428635524 is 42553682450281.

It is a happy number.

The square root of 18205428635524 is 4266782.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9995828377924 + 8209600257600 = 3161618^2 + 2865240^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 42044869612 + ... + 42044870044.

Almost surely, 218205428635524 is an apocalyptic number.

18205428635524 is the 4266782-nd square number.

It is an amenable number.

18205428635524 is a deficient number, since it is larger than the sum of its proper divisors (16464654953099).

18205428635524 is an frugal number, since it uses more digits than its factorization.

18205428635524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 55.

The spelling of 18205428635524 in words is "eighteen trillion, two hundred five billion, four hundred twenty-eight million, six hundred thirty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 13 26 52 169 338 379 433 676 758 866 1516 1732 4927 5629 9854 11258 19708 22516 64051 73177 128102 143641 146354 164107 187489 256204 287282 292708 328214 374978 574564 656428 749956 1867333 2133391 2437357 3734666 4266782 4874714 7469332 8533564 9749428 24275329 27734083 31685641 48550658 55468166 62196553 63371282 71058331 97101316 110936332 124393106 126742564 142116662 248786212 284233324 808555189 923758303 1617110378 1847516606 3234220756 3695033212 10511217457 12008857939 21022434914 24017715878 26931107449 42044869828 48035431756 53862214898 107724429796 350104396837 700208793674 1400417587348 4551357158881 9102714317762 18205428635524