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1338580513 = 33719932
BaseRepresentation
bin100111111001001…
…0001111000100001
310110021202221021001
41033302101320201
510220134034023
6340454232001
745112514044
oct11762217041
93407687231
101338580513
11627659396
12314355601
1318442569a
14c9ac4c5b
157c7b16ad
hex4fc91e21

1338580513 has 6 divisors (see below), whose sum is σ = 1343226534. Its totient is φ = 1333938816.

The previous prime is 1338580499. The next prime is 1338580541. The reversal of 1338580513 is 3150858331.

It can be written as a sum of positive squares in 3 ways, for example, as 323712064 + 1014868449 = 17992^2 + 31857^2 .

It is not a de Polignac number, because 1338580513 - 213 = 1338572321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338580553) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 670645 + ... + 672637.

It is an arithmetic number, because the mean of its divisors is an integer number (223871089).

Almost surely, 21338580513 is an apocalyptic number.

It is an amenable number.

1338580513 is a deficient number, since it is larger than the sum of its proper divisors (4646021).

1338580513 is an frugal number, since it uses more digits than its factorization.

1338580513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 1338580513 is about 36586.6165831168. The cubic root of 1338580513 is about 1102.0843435631.

The spelling of 1338580513 in words is "one billion, three hundred thirty-eight million, five hundred eighty thousand, five hundred thirteen".

Divisors: 1 337 1993 671641 3972049 1338580513