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8006493617 is a prime number
BaseRepresentation
bin1110111010011100…
…10110010110110001
3202122222122000110122
413131032112112301
5112344130243432
63402250540025
7402260033663
oct73516262661
922588560418
108006493617
113439503181
121675437615
139a79a79b5
1455d4b8533
1531cd7e612
hex1dd3965b1

8006493617 has 2 divisors, whose sum is σ = 8006493618. Its totient is φ = 8006493616.

The previous prime is 8006493577. The next prime is 8006493629. The reversal of 8006493617 is 7163946008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8003807296 + 2686321 = 89464^2 + 1639^2 .

It is a cyclic number.

It is not a de Polignac number, because 8006493617 - 226 = 7939384753 is a prime.

It is not a weakly prime, because it can be changed into another prime (8506493617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003246808 + 4003246809.

It is an arithmetic number, because the mean of its divisors is an integer number (4003246809).

Almost surely, 28006493617 is an apocalyptic number.

It is an amenable number.

8006493617 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006493617 is an equidigital number, since it uses as much as digits as its factorization.

8006493617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 8006493617 is about 89479.0121592768. The cubic root of 8006493617 is about 2000.5409884026.

The spelling of 8006493617 in words is "eight billion, six million, four hundred ninety-three thousand, six hundred seventeen".