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1841006801 is a prime number
BaseRepresentation
bin110110110111011…
…1000100011010001
311202022011211120002
41231232320203101
512232244204201
6502403055345
763423204524
oct15556704321
94668154502
101841006801
11865222727
12434671555
13234549c4a
1413670cbbb
15ab95876b
hex6dbb88d1

1841006801 has 2 divisors, whose sum is σ = 1841006802. Its totient is φ = 1841006800.

The previous prime is 1841006753. The next prime is 1841006803. The reversal of 1841006801 is 1086001481.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1782866176 + 58140625 = 42224^2 + 7625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1841006801 - 218 = 1840744657 is a prime.

Together with 1841006803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1841006803) 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, 920503400 + 920503401.

It is an arithmetic number, because the mean of its divisors is an integer number (920503401).

Almost surely, 21841006801 is an apocalyptic number.

It is an amenable number.

1841006801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1841006801 is an equidigital number, since it uses as much as digits as its factorization.

1841006801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 1841006801 is about 42906.9551588085. The cubic root of 1841006801 is about 1225.6085941087.

The spelling of 1841006801 in words is "one billion, eight hundred forty-one million, six thousand, eight hundred one".