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13349260521 = 3219220272
BaseRepresentation
bin11000110111010110…
…11000110011101001
31021110022222200211100
430123223120303221
5204314402314041
610044344552013
7651543561612
oct143353306351
937408880740
1013349260521
115730345013
122706782609
13134985942c
14908cc2c09
15531e416b6
hex31bad8ce9

13349260521 has 27 divisors (see below), whose sum is σ = 20360579421. Its totient is φ = 8426952504.

The previous prime is 13349260471. The next prime is 13349260583. The reversal of 13349260521 is 12506294331.

The square root of 13349260521 is 115539.

It is a perfect power (a square), and thus also a powerful number.

13349260521 is a `hidden beast` number, since 1 + 3 + 3 + 49 + 2 + 605 + 2 + 1 = 666.

It is not a de Polignac number, because 13349260521 - 233 = 4759325929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13349260621) 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 26 ways as a sum of consecutive naturals, for example, 6584710 + ... + 6586736.

Almost surely, 213349260521 is an apocalyptic number.

13349260521 is the 115539-th square number.

13349260521 is the 57770-th centered octagonal number.

It is an amenable number.

13349260521 is a deficient number, since it is larger than the sum of its proper divisors (7011318900).

13349260521 is an frugal number, since it uses more digits than its factorization.

13349260521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 13349260521 by its sum of digits (36), we get a square (480573378756 = 6932342).

The spelling of 13349260521 in words is "thirteen billion, three hundred forty-nine million, two hundred sixty thousand, five hundred twenty-one".

Divisors: 1 3 9 19 57 171 361 1083 2027 3249 6081 18243 38513 115539 346617 731747 2195241 4108729 6585723 12326187 36978561 78065851 234197553 702592659 1483251169 4449753507 13349260521