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1828128319 is a prime number
BaseRepresentation
bin110110011110111…
…0000011000111111
311201101221112121021
41230331300120333
512221000101234
6501223045011
763205556113
oct15475603077
94641845537
101828128319
11858a26956
124302a0767
1323198b144
14134b19743
15aa7629b4
hex6cf7063f

1828128319 has 2 divisors, whose sum is σ = 1828128320. Its totient is φ = 1828128318.

The previous prime is 1828128317. The next prime is 1828128329. The reversal of 1828128319 is 9138218281.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1828128319 - 21 = 1828128317 is a prime.

It is a super-2 number, since 2×18281283192 = 6684106301459531522, which contains 22 as substring.

Together with 1828128317, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1828128317) 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, 914064159 + 914064160.

It is an arithmetic number, because the mean of its divisors is an integer number (914064160).

Almost surely, 21828128319 is an apocalyptic number.

1828128319 is a deficient number, since it is larger than the sum of its proper divisors (1).

1828128319 is an equidigital number, since it uses as much as digits as its factorization.

1828128319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55296, while the sum is 43.

The square root of 1828128319 is about 42756.6172539409. The cubic root of 1828128319 is about 1222.7440515989.

The spelling of 1828128319 in words is "one billion, eight hundred twenty-eight million, one hundred twenty-eight thousand, three hundred nineteen".