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13553323552 = 25617699029
BaseRepresentation
bin11001001111101011…
…10100111000100000
31021222112222011200101
430213311310320200
5210224122323202
610120514432144
7656602230556
oct144765647040
937875864611
1013553323552
11582555264a
122762b92654
13137cc06ba2
14928041bd6
15544cee887
hex327d74e20

13553323552 has 48 divisors (see below), whose sum is σ = 27158808600. Its totient is φ = 6656163840.

The previous prime is 13553323543. The next prime is 13553323573. The reversal of 13553323552 is 25532335531.

13553323552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11708105616 + 1845217936 = 108204^2 + 42956^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1496574 + ... + 1505602.

Almost surely, 213553323552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553323552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579404300).

13553323552 is an abundant number, since it is smaller than the sum of its proper divisors (13605485048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13553323552 is an equidigital number, since it uses as much as digits as its factorization.

13553323552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9861 counting only the distinct ones).

The product of its digits is 202500, while the sum is 37.

The spelling of 13553323552 in words is "thirteen billion, five hundred fifty-three million, three hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 769 976 1538 1952 3076 6152 9029 12304 18058 24608 36116 46909 72232 93818 144464 187636 288928 375272 550769 750544 1101538 1501088 2203076 4406152 6943301 8812304 13886602 17624608 27773204 55546408 111092816 222185632 423541361 847082722 1694165444 3388330888 6776661776 13553323552