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204071486066336 = 25723376110531813
BaseRepresentation
bin101110011001101000011000…
…011011111000111010100000
3222202120001011201222012011002
4232121220120123320322200
5203222001400413110321
62002005051350011132
760661451444003330
oct5631503033707240
9882501151865132
10204071486066336
115a02925a82a689
121aa7a507946aa8
1389b3b21356045
1438571810930c0
15188d57ad5120b
hexb99a186f8ea0

204071486066336 has 96 divisors (see below), whose sum is σ = 479251796905728. Its totient is φ = 83634382909440.

The previous prime is 204071486066263. The next prime is 204071486066453. The reversal of 204071486066336 is 633660684170402.

It is a super-3 number, since 3×2040714860663363 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14110766 + ... + 24642578.

It is an arithmetic number, because the mean of its divisors is an integer number (4992206217768).

Almost surely, 2204071486066336 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 204071486066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239625898452864).

204071486066336 is an abundant number, since it is smaller than the sum of its proper divisors (275180310839392).

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

204071486066336 is a wasteful number, since it uses less digits than its factorization.

204071486066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535614 (or 10535606 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 56.

The spelling of 204071486066336 in words is "two hundred four trillion, seventy-one billion, four hundred eighty-six million, sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 3761 5152 7522 15044 26327 30088 52654 60176 86503 105308 120352 173006 210616 346012 421232 605521 692024 842464 1211042 1384048 2422084 2768096 4844168 9688336 10531813 19376672 21063626 42127252 73722691 84254504 147445382 168509008 242231699 294890764 337018016 484463398 589781528 968926796 1179563056 1695621893 1937853592 2359126112 3391243786 3875707184 6782487572 7751414368 13564975144 27129950288 39610148693 54259900576 79220297386 158440594772 277271040851 316881189544 554542081702 633762379088 911033419939 1109084163404 1267524758176 1822066839878 2218168326808 3644133679756 4436336653616 6377233939573 7288267359512 8872673307232 12754467879146 14576534719024 25508935758292 29153069438048 51017871516584 102035743033168 204071486066336