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301650000066 = 23213721814933
BaseRepresentation
bin1000110001110111011…
…11011011100011000010
31001211121111200201022200
410120323233123203002
514420234400000231
6350324234214030
730536111460222
oct4307357334302
91054544621280
10301650000066
11106a24619818
124a565b84316
13225a391cacc
1410858330082
157ca7487be6
hex463bbdb8c2

301650000066 has 72 divisors (see below), whose sum is σ = 662152105524. Its totient is φ = 99244465920.

The previous prime is 301649999941. The next prime is 301650000097. The reversal of 301650000066 is 660000056103.

301650000066 is a `hidden beast` number, since 3 + 0 + 1 + 650 + 0 + 0 + 0 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53965613025 + 247684387041 = 232305^2 + 497679^2 .

It is a junction number, because it is equal to n+sod(n) for n = 301649999994 and 301650000039.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61146936 + ... + 61151868.

Almost surely, 2301650000066 is an apocalyptic number.

301650000066 is an abundant number, since it is smaller than the sum of its proper divisors (360502105458).

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

301650000066 is a wasteful number, since it uses less digits than its factorization.

301650000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 301650000066 its reverse (660000056103), we get a palindrome (961650056169).

The spelling of 301650000066 in words is "three hundred one billion, six hundred fifty million, sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 137 181 274 362 411 543 822 1086 1233 1629 2466 3258 4933 9866 14799 18769 24797 29598 37538 44397 49594 56307 74391 88794 112614 148782 168921 223173 337842 446346 675821 892873 1351642 1785746 2027463 2678619 3397189 4054926 5357238 6082389 6794378 8035857 10191567 12164778 16071714 20383134 30574701 61149402 92587477 122323601 185174954 244647202 277762431 366970803 555524862 733941606 833287293 1100912409 1666574586 2201824818 16758333337 33516666674 50275000011 100550000022 150825000033 301650000066