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1828819013 = 72172195461
BaseRepresentation
bin110110100000001…
…1001000001000101
311201110020122001112
41231000121001011
512221134202023
6501245534405
763214463600
oct15500310105
94643218045
101828819013
1185935887a
12430574405
13231b70638
14134c59337
15aa84c478
hex6d019045

1828819013 has 12 divisors (see below), whose sum is σ = 2252544012. Its totient is φ = 1475349120.

The previous prime is 1828819001. The next prime is 1828819039. The reversal of 1828819013 is 3109188281.

It can be written as a sum of positive squares in 2 ways, for example, as 1373295364 + 455523649 = 37058^2 + 21343^2 .

It is not a de Polignac number, because 1828819013 - 224 = 1812041797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828819043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096898 + ... + 1098563.

It is an arithmetic number, because the mean of its divisors is an integer number (187712001).

Almost surely, 21828819013 is an apocalyptic number.

It is an amenable number.

1828819013 is a deficient number, since it is larger than the sum of its proper divisors (423724999).

1828819013 is a wasteful number, since it uses less digits than its factorization.

1828819013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195492 (or 2195485 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 1828819013 is about 42764.6935333342. The cubic root of 1828819013 is about 1222.8980224906.

The spelling of 1828819013 in words is "one billion, eight hundred twenty-eight million, eight hundred nineteen thousand, thirteen".

Divisors: 1 7 17 49 119 833 2195461 15368227 37322837 107577589 261259859 1828819013