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8218231641 = 321248773127
BaseRepresentation
bin1111010011101100…
…00100001101011001
3210012202001102102200
413221312010031121
5113312331403031
63435253120413
7410440550004
oct75166041531
923182042380
108218231641
113537a83084
121714329109
13a0c811979
1457d67453b
153317568e6
hex1e9d84359

8218231641 has 12 divisors (see below), whose sum is σ = 11871892032. Its totient is φ = 5478307416.

The previous prime is 8218231631. The next prime is 8218231661. The reversal of 8218231641 is 1461328128.

8218231641 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 2 + 3 + 1 + 641 = 666.

It is not a de Polignac number, because 8218231641 - 215 = 8218198873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8218231596 and 8218231605.

It is not an unprimeable number, because it can be changed into a prime (8218231601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75820 + ... + 148946.

It is an arithmetic number, because the mean of its divisors is an integer number (989324336).

Almost surely, 28218231641 is an apocalyptic number.

It is an amenable number.

8218231641 is a deficient number, since it is larger than the sum of its proper divisors (3653660391).

8218231641 is a wasteful number, since it uses less digits than its factorization.

8218231641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85620 (or 85617 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8218231641 is about 90654.4628851774. The cubic root of 8218231641 is about 2018.0230667451.

Adding to 8218231641 its reverse (1461328128), we get a palindrome (9679559769).

The spelling of 8218231641 in words is "eight billion, two hundred eighteen million, two hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 3 9 12487 37461 73127 112383 219381 658143 913136849 2739410547 8218231641