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13520052405 = 32510119315413
BaseRepresentation
bin11001001011101101…
…11010000010110101
31021220020100211020200
430211312322002311
5210142113134110
610113325351113
7656016356256
oct144566720265
937806324220
1013520052405
115808798532
122753a08499
131376058012
14923860b2d
15541e2b6c0
hex325dba0b5

13520052405 has 48 divisors (see below), whose sum is σ = 23790954096. Its totient is φ = 7101849600.

The previous prime is 13520052397. The next prime is 13520052407. The reversal of 13520052405 is 50425002531.

It is a happy number.

13520052405 is a `hidden beast` number, since 1 + 3 + 5 + 200 + 52 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1128355281 + 12391697124 = 33591^2 + 111318^2 .

It is not a de Polignac number, because 13520052405 - 23 = 13520052397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520052407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869479 + ... + 884891.

It is an arithmetic number, because the mean of its divisors is an integer number (495644877).

Almost surely, 213520052405 is an apocalyptic number.

13520052405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13520052405 is a deficient number, since it is larger than the sum of its proper divisors (10270901691).

13520052405 is a wasteful number, since it uses less digits than its factorization.

13520052405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15718 (or 15715 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 13520052405 its reverse (50425002531), we get a palindrome (63945054936).

The spelling of 13520052405 in words is "thirteen billion, five hundred twenty million, fifty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 101 193 303 505 579 909 965 1515 1737 2895 4545 8685 15413 19493 46239 58479 77065 97465 138717 175437 231195 292395 693585 877185 1556713 2974709 4670139 7783565 8924127 14010417 14873545 23350695 26772381 44620635 70052085 133861905 300445609 901336827 1502228045 2704010481 4506684135 13520052405