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13204432032 = 25311171913851
BaseRepresentation
bin11000100110000101…
…11010010010100000
31021002020110122111020
430103002322102200
5204020313311112
610022132445440
7645134551251
oct142302722240
937066418436
1013204432032
115666615250
122686179880
13132584b3bc
148d3982b28
1552438448c
hex3130ba4a0

13204432032 has 192 divisors, whose sum is σ = 40257036288. Its totient is φ = 3745280000.

The previous prime is 13204432009. The next prime is 13204432037. The reversal of 13204432032 is 23023440231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13204431993 and 13204432011.

It is not an unprimeable number, because it can be changed into a prime (13204432037) 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 31 ways as a sum of consecutive naturals, for example, 3426907 + ... + 3430757.

It is an arithmetic number, because the mean of its divisors is an integer number (209672064).

Almost surely, 213204432032 is an apocalyptic number.

13204432032 is a gapful number since it is divisible by the number (12) 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 13204432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20128518144).

13204432032 is an abundant number, since it is smaller than the sum of its proper divisors (27052604256).

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

13204432032 is a wasteful number, since it uses less digits than its factorization.

13204432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13204432032 its reverse (23023440231), we get a palindrome (36227872263).

The spelling of 13204432032 in words is "thirteen billion, two hundred four million, four hundred thirty-two thousand, thirty-two".