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13532240000 = 2754475961
BaseRepresentation
bin11001001101001010…
…11001100010000000
31021221002022000111002
430212211121202000
5210203223140000
610114442511132
7656225066516
oct144645314200
937832260432
1013532240000
115814662224
122757b054a8
131378734506
149253144b6
155430378d5
hex326959880

13532240000 has 320 divisors, whose sum is σ = 35561116800. Its totient is φ = 5122560000.

The previous prime is 13532239991. The next prime is 13532240009. The reversal of 13532240000 is 4223531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13532239991) and next prime (13532240009).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13532240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221839970 + ... + 221840030.

It is an arithmetic number, because the mean of its divisors is an integer number (111128490).

Almost surely, 213532240000 is an apocalyptic number.

13532240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13532240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17780558400).

13532240000 is an abundant number, since it is smaller than the sum of its proper divisors (22028876800).

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

13532240000 is an frugal number, since it uses more digits than its factorization.

13532240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13532240000 its reverse (4223531), we get a palindrome (13536463531).

The spelling of 13532240000 in words is "thirteen billion, five hundred thirty-two million, two hundred forty thousand".