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8946129817 is a prime number
BaseRepresentation
bin10000101010011101…
…10001101110011001
3212002110201111000101
420111032301232121
5121310202123232
64035414335401
7434456564062
oct102516615631
925073644011
108946129817
113880947819
12189805a561
13ac756b451
1460c1d1569
153755da1e7
hex2153b1b99

8946129817 has 2 divisors, whose sum is σ = 8946129818. Its totient is φ = 8946129816.

The previous prime is 8946129769. The next prime is 8946129839. The reversal of 8946129817 is 7189216498.

It is a happy number.

8946129817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8455905936 + 490223881 = 91956^2 + 22141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8946129817 is a prime.

It is not a weakly prime, because it can be changed into another prime (8946129877) 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, 4473064908 + 4473064909.

It is an arithmetic number, because the mean of its divisors is an integer number (4473064909).

Almost surely, 28946129817 is an apocalyptic number.

It is an amenable number.

8946129817 is a deficient number, since it is larger than the sum of its proper divisors (1).

8946129817 is an equidigital number, since it uses as much as digits as its factorization.

8946129817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1741824, while the sum is 55.

The square root of 8946129817 is about 94583.9828776522. The cubic root of 8946129817 is about 2075.9253485017.

The spelling of 8946129817 in words is "eight billion, nine hundred forty-six million, one hundred twenty-nine thousand, eight hundred seventeen".