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233085081636 = 2232115931331873
BaseRepresentation
bin1101100100010011110…
…1000001100000100100
3211021122002200222021100
43121010331001200210
512304324240103021
6255024450120100
722561031334651
oct3310475014044
9737562628240
10233085081636
118a93a4a7780
123920b880030
1318c978b7b64
14b3d215cc28
1560e2d4b626
hex3644f41824

233085081636 has 144 divisors (see below), whose sum is σ = 655752726720. Its totient is φ = 69210685440.

The previous prime is 233085081623. The next prime is 233085081709. The reversal of 233085081636 is 636180580332.

233085081636 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 8 + 5 + 0 + 8 + 1 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233085081591 and 233085081600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7296996 + ... + 7328868.

It is an arithmetic number, because the mean of its divisors is an integer number (4553838380).

Almost surely, 2233085081636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233085081636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327876363360).

233085081636 is an abundant number, since it is smaller than the sum of its proper divisors (422667645084).

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

233085081636 is a wasteful number, since it uses less digits than its factorization.

233085081636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32266 (or 32261 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 233085081636 in words is "two hundred thirty-three billion, eighty-five million, eighty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 313 354 396 531 626 649 708 939 1062 1252 1298 1878 1947 2124 2596 2817 3443 3756 3894 5634 5841 6886 7788 10329 11268 11682 13772 18467 20658 23364 30987 31873 36934 41316 55401 61974 63746 73868 95619 110802 123948 127492 166203 191238 203137 221604 286857 332406 350603 382476 406274 573714 609411 664812 701206 812548 1051809 1147428 1218822 1402412 1828233 1880507 2103618 2437644 3155427 3656466 3761014 4207236 5641521 6310854 7312932 7522028 9976249 11283042 12621708 16924563 19952498 20685577 22566084 29928747 33849126 39904996 41371154 59857494 62056731 67698252 82742308 89786241 109738739 119714988 124113462 179572482 186170193 219477478 248226924 329216217 359144964 372340386 438954956 588598691 658432434 744680772 987648651 1177197382 1316864868 1765796073 1975297302 2354394764 3531592146 3950594604 5297388219 6474585601 7063184292 10594776438 12949171202 19423756803 21189552876 25898342404 38847513606 58271270409 77695027212 116542540818 233085081636