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1338828205 = 511133834889
BaseRepresentation
bin100111111001100…
…1110010110101101
310110022020112000211
41033303032112231
510220220000310
6340503422421
745114565141
oct11763162655
93408215024
101338828205
116278084a0
12314454a11
131844b1350
14c9b4b221
157c80ec8a
hex4fcce5ad

1338828205 has 32 divisors (see below), whose sum is σ = 1892782080. Its totient is φ = 896263680.

The previous prime is 1338828203. The next prime is 1338828209. The reversal of 1338828205 is 5028288331.

It is not a de Polignac number, because 1338828205 - 21 = 1338828203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338828203) 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 in 31 ways as a sum of consecutive naturals, for example, 271401 + ... + 276289.

It is an arithmetic number, because the mean of its divisors is an integer number (59149440).

Almost surely, 21338828205 is an apocalyptic number.

It is an amenable number.

1338828205 is a deficient number, since it is larger than the sum of its proper divisors (553953875).

1338828205 is a wasteful number, since it uses less digits than its factorization.

1338828205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301.

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 1338828205 is about 36590.0014348182. The cubic root of 1338828205 is about 1102.1523162244.

The spelling of 1338828205 in words is "one billion, three hundred thirty-eight million, eight hundred twenty-eight thousand, two hundred five".

Divisors: 1 5 11 13 55 65 143 383 715 1915 4213 4889 4979 21065 24445 24895 53779 54769 63557 268895 273845 317785 699127 1872487 3495635 9362435 20597357 24342331 102986785 121711655 267765641 1338828205