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205425065340 = 2232511234510871
BaseRepresentation
bin1011111101010001001…
…0011011110101111100
3201122020102111120002100
42333110102123311330
511331202304042330
6234212044025100
720561424150015
oct2772422336574
9648212446070
10205425065340
117a136104080
1233990532190
13164aa257201
149d2a7d000c
155524891060
hex2fd449bd7c

205425065340 has 144 divisors (see below), whose sum is σ = 709325600256. Its totient is φ = 47634787200.

The previous prime is 205425065333. The next prime is 205425065381. The reversal of 205425065340 is 43560524502.

205425065340 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 250 + 65 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205425065295 and 205425065304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2209896 + ... + 2300975.

It is an arithmetic number, because the mean of its divisors is an integer number (4925872224).

Almost surely, 2205425065340 is an apocalyptic number.

205425065340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205425065340 is an abundant number, since it is smaller than the sum of its proper divisors (503900534916).

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

205425065340 is a wasteful number, since it uses less digits than its factorization.

205425065340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510920 (or 4510915 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 205425065340 its reverse (43560524502), we get a palindrome (248985589842).

The spelling of 205425065340 in words is "two hundred five billion, four hundred twenty-five million, sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 15180 22770 45540 4510871 9021742 13532613 18043484 22554355 27065226 40597839 45108710 49619581 54130452 67663065 81195678 90217420 99239162 103750033 135326130 148858743 162391356 198478324 202989195 207500066 248097905 270652260 297717486 311250099 405978390 415000132 446576229 496195810 518750165 595434972 622500198 744293715 811956780 893152458 933750297 992391620 1037500330 1141250363 1245000396 1488587430 1556250495 1786304916 1867500594 2075000660 2232881145 2282500726 2977174860 3112500990 3423751089 3735001188 4465762290 4565001452 4668751485 5706251815 6225001980 6847502178 8931524580 9337502970 10271253267 11412503630 13695004356 17118755445 18675005940 20542506534 22825007260 34237510890 41085013068 51356266335 68475021780 102712532670 205425065340