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8188820641 is a prime number
BaseRepresentation
bin1111010000001011…
…10111110010100001
3210010200201012010101
413220011313302201
5113232314230031
63432322502401
7406632553441
oct75005676241
923120635111
108188820641
113522415171
121706504a01
13a066b4b01
145797ba121
1532dd97361
hex1e8177ca1

8188820641 has 2 divisors, whose sum is σ = 8188820642. Its totient is φ = 8188820640.

The previous prime is 8188820561. The next prime is 8188820657. The reversal of 8188820641 is 1460288818.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7516196416 + 672624225 = 86696^2 + 25935^2 .

It is a cyclic number.

It is not a de Polignac number, because 8188820641 - 217 = 8188689569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8188820591 and 8188820600.

It is not a weakly prime, because it can be changed into another prime (8188820671) 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 as a sum of consecutive naturals, namely, 4094410320 + 4094410321.

It is an arithmetic number, because the mean of its divisors is an integer number (4094410321).

Almost surely, 28188820641 is an apocalyptic number.

It is an amenable number.

8188820641 is a deficient number, since it is larger than the sum of its proper divisors (1).

8188820641 is an equidigital number, since it uses as much as digits as its factorization.

8188820641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196608, while the sum is 46.

The square root of 8188820641 is about 90492.1026443744. The cubic root of 8188820641 is about 2015.6128556353.

The spelling of 8188820641 in words is "eight billion, one hundred eighty-eight million, eight hundred twenty thousand, six hundred forty-one".