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13432991104 = 271327192969
BaseRepresentation
bin11001000001010101…
…10010110110000000
31021200011112122121001
430200222302312000
5210002321203404
610100535341344
7653611353241
oct144052626600
937604478531
1013432991104
115773634045
12272a821854
131360cc4860
1491607acc8
155394807a4
hex320ab2d80

13432991104 has 64 divisors (see below), whose sum is σ = 28839888000. Its totient is φ = 6195474432.

The previous prime is 13432991069. The next prime is 13432991107. The reversal of 13432991104 is 40119923431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432991107) 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 7 ways as a sum of consecutive naturals, for example, 4522932 + ... + 4525900.

It is an arithmetic number, because the mean of its divisors is an integer number (450623250).

Almost surely, 213432991104 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 13432991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419944000).

13432991104 is an abundant number, since it is smaller than the sum of its proper divisors (15406896896).

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

13432991104 is a wasteful number, since it uses less digits than its factorization.

13432991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 13432991104 in words is "thirteen billion, four hundred thirty-two million, nine hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2719 2969 5438 5938 10876 11876 21752 23752 35347 38597 43504 47504 70694 77194 87008 95008 141388 154388 174016 190016 282776 308776 348032 380032 565552 617552 1131104 1235104 2262208 2470208 4524416 4940416 8072711 16145422 32290844 64581688 104945243 129163376 209890486 258326752 419780972 516653504 839561944 1033307008 1679123888 3358247776 6716495552 13432991104