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8166219041 is a prime number
BaseRepresentation
bin1111001101011111…
…01001110100100001
3210002010011220120002
413212233221310201
5113211023002131
63430154225345
7406236500531
oct74657516441
923063156502
108166219041
113510688262
1216baa25255
13a01b00496
145767b54c1
1532bdd06cb
hex1e6be9d21

8166219041 has 2 divisors, whose sum is σ = 8166219042. Its totient is φ = 8166219040.

The previous prime is 8166218899. The next prime is 8166219043. The reversal of 8166219041 is 1409126618.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8078234641 + 87984400 = 89879^2 + 9380^2 .

It is a cyclic number.

It is not a de Polignac number, because 8166219041 - 226 = 8099110177 is a prime.

It is a super-3 number, since 3×81662190413 (a number of 31 digits) contains 333 as substring.

Together with 8166219043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8166218986 and 8166219004.

It is not a weakly prime, because it can be changed into another prime (8166219043) 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, 4083109520 + 4083109521.

It is an arithmetic number, because the mean of its divisors is an integer number (4083109521).

Almost surely, 28166219041 is an apocalyptic number.

It is an amenable number.

8166219041 is a deficient number, since it is larger than the sum of its proper divisors (1).

8166219041 is an equidigital number, since it uses as much as digits as its factorization.

8166219041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 8166219041 is about 90367.1347393509. The cubic root of 8166219041 is about 2013.7567457698.

The spelling of 8166219041 in words is "eight billion, one hundred sixty-six million, two hundred nineteen thousand, forty-one".