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13532114505 = 357139913637
BaseRepresentation
bin11001001101001001…
…11010111001001001
31021221002001122100010
430212210322321021
5210203210131010
610114440102133
7656224034610
oct144644727111
937832048303
1013532114505
115814586a08
122757a64949
1313786bc360
149252c0877
15543010620
hex32693ae49

13532114505 has 32 divisors (see below), whose sum is σ = 26647858944. Its totient is φ = 5710254336.

The previous prime is 13532114503. The next prime is 13532114537. The reversal of 13532114505 is 50541123531.

13532114505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13532114505 - 21 = 13532114503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13532114503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4955454 + ... + 4958183.

It is an arithmetic number, because the mean of its divisors is an integer number (832745592).

Almost surely, 213532114505 is an apocalyptic number.

13532114505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13532114505 is a deficient number, since it is larger than the sum of its proper divisors (13115744439).

13532114505 is a wasteful number, since it uses less digits than its factorization.

13532114505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913665.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 13532114505 in words is "thirteen billion, five hundred thirty-two million, one hundred fourteen thousand, five hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 9913637 29740911 49568185 69395459 128877281 148704555 208186377 346977295 386631843 644386405 902140967 1040931885 1933159215 2706422901 4510704835 13532114505