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68348360104300 = 225219115601229373
BaseRepresentation
bin11111000101001100101111…
…01110011001100101101100
322222000001001201202210012201
433202212113232121211230
532424304420141314200
6401210445252311244
720253002036121133
oct1742462756314554
9288001051683181
1068348360104300
111a861416493791
1277ba453612524
132c1a2b8379c83
1412c4114b2a91a
157d7d6eadbc6a
hex3e2997b9996c

68348360104300 has 72 divisors (see below), whose sum is σ = 149102671318272. Its totient is φ = 27194344320000.

The previous prime is 68348360104279. The next prime is 68348360104303. The reversal of 68348360104300 is 340106384386.

It is not an unprimeable number, because it can be changed into a prime (68348360104303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297864414 + ... + 298093786.

It is an arithmetic number, because the mean of its divisors is an integer number (2070870434976).

Almost surely, 268348360104300 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 68348360104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74551335659136).

68348360104300 is an abundant number, since it is smaller than the sum of its proper divisors (80754311213972).

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

68348360104300 is a wasteful number, since it uses less digits than its factorization.

68348360104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245179 (or 245172 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

Adding to 68348360104300 its reverse (340106384386), we get a palindrome (68688466488686).

The spelling of 68348360104300 in words is "sixty-eight trillion, three hundred forty-eight billion, three hundred sixty million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 15601 19100 31202 62404 78005 156010 229373 312020 390025 458746 780050 917492 1146865 1560100 2293730 2979791 4587460 5734325 5959582 11468650 11919164 14898955 22937300 29797910 43810243 59595820 74494775 87620486 148989550 175240972 219051215 297979100 438102430 876204860 1095256075 2190512150 3578448173 4381024300 7156896346 14313792692 17892240865 35784481730 71568963460 89461204325 178922408650 357844817300 683483601043 1366967202086 2733934404172 3417418005215 6834836010430 13669672020860 17087090026075 34174180052150 68348360104300