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204332101644 = 2231131110094933
BaseRepresentation
bin1011111001001100100…
…1000111000000001100
3201112102020220020202110
42332103021013000030
511321433004223034
6233511402024020
720522353130646
oct2762311070014
9645366806673
10204332101644
11797251652a0
12337264a8010
131636499b128
149c655a3896
1554ad949de9
hex2f9324700c

204332101644 has 96 divisors (see below), whose sum is σ = 522413498880. Its totient is φ = 61646054400.

The previous prime is 204332101559. The next prime is 204332101651. The reversal of 204332101644 is 446101233402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41419002 + ... + 41423934.

It is an arithmetic number, because the mean of its divisors is an integer number (5441807280).

Almost surely, 2204332101644 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 204332101644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261206749440).

204332101644 is an abundant number, since it is smaller than the sum of its proper divisors (318081397236).

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

204332101644 is a wasteful number, since it uses less digits than its factorization.

204332101644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 204332101644 in words is "two hundred four billion, three hundred thirty-two million, one hundred one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 311 622 933 1009 1244 1866 2018 3027 3421 3732 4036 4933 6054 6842 9866 10263 11099 12108 13684 14799 19732 20526 22198 29598 33297 41052 44396 54263 59196 66594 108526 133188 162789 217052 313799 325578 627598 651156 941397 1255196 1534163 1882794 3068326 3451789 3765588 4602489 4977397 6136652 6903578 9204978 9954794 10355367 13807156 14932191 16875793 18409956 19909588 20710734 29864382 33751586 41421468 50627379 54751367 59728764 67503172 101254758 109502734 164254101 202509516 219005468 328508202 657016404 1547970467 3095940934 4643911401 6191881868 9287822802 17027675137 18575645604 34055350274 51083025411 68110700548 102166050822 204332101644