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230786655088896 = 28323164932
BaseRepresentation
bin110100011110011000110100…
…100110000111000100000000
31010021010222200210122211111100
4310132120310212013010000
5220222202032200321041
62134501531541214400
766416533312650504
oct6436306446070400
91107128623584440
10230786655088896
1167599086224945
1221a73bbba01400
139ba111b9b1c9a
1440dc1c2c66304
151ba34557c76b6
hexd1e634987100

230786655088896 has 81 divisors (see below), whose sum is σ = 665416924412149. Its totient is φ = 76928641963008.

The previous prime is 230786655088853. The next prime is 230786655088901. The reversal of 230786655088896 is 698880556687032.

The square root of 230786655088896 is 15191664.

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

230786655088896 is a `hidden beast` number, since 2 + 30 + 78 + 6 + 6 + 5 + 508 + 8 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1399394361600 + 229387260727296 = 1182960^2 + 15145536^2 .

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 8 ways as a sum of consecutive naturals, for example, 729041626 + ... + 729358118.

Almost surely, 2230786655088896 is an apocalyptic number.

230786655088896 is the 15191664-th square number.

It is an amenable number.

230786655088896 is an abundant number, since it is smaller than the sum of its proper divisors (434630269323253).

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

230786655088896 is an frugal number, since it uses more digits than its factorization.

230786655088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633008 (or 316498 counting only the distinct ones).

The product of its (nonzero) digits is 8360755200, while the sum is 81.

The spelling of 230786655088896 in words is "two hundred thirty trillion, seven hundred eighty-six billion, six hundred fifty-five million, eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 316493 632986 949479 1265972 1898958 2531944 2848437 3797916 5063888 5696874 7595832 10127776 11393748 15191664 20255552 22787496 30383328 40511104 45574992 60766656 81022208 91149984 121533312 182299968 243066624 364599936 729199872 100167819049 200335638098 300503457147 400671276196 601006914294 801342552392 901510371441 1202013828588 1602685104784 1803020742882 2404027657176 3205370209568 3606041485764 4808055314352 6410740419136 7212082971528 9616110628704 12821480838272 14424165943056 19232221257408 25642961676544 28848331886112 38464442514816 57696663772224 76928885029632 115393327544448 230786655088896