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447227205768 = 23310721392
BaseRepresentation
bin1101000001000001101…
…00011001100010001000
31120202101000220000000000
412200200310121202020
524311410131041033
6541241531043000
744211464345400
oct6404064314210
91522330800000
10447227205768
1116273910a072
12728135a0460
1333233ab8005
1417908551800
15b977b29a13
hex6820d19888

447227205768 has 396 divisors, whose sum is σ = 1473779875815. Its totient is φ = 126859926816.

The previous prime is 447227205751. The next prime is 447227205797. The reversal of 447227205768 is 867502722744.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

447227205768 is a `hidden beast` number, since 4 + 47 + 2 + 2 + 7 + 20 + 576 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223613602884 + 223613602884 = 472878^2 + 472878^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=472878.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 3217461843 + ... + 3217461981.

Almost surely, 2447227205768 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 447227205768

447227205768 is an abundant number, since it is smaller than the sum of its proper divisors (1026552670047).

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

447227205768 is an frugal number, since it uses more digits than its factorization.

447227205768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 447227205768 in words is "four hundred forty-seven billion, two hundred twenty-seven million, two hundred five thousand, seven hundred sixty-eight".