Search a number
-
+
13195669824 = 263617127131
BaseRepresentation
bin11000100101000010…
…11111000101000000
31021001121222111000000
430102201133011000
5204011042413244
610021221000000
7645000225411
oct142241370500
937047874000
1013195669824
115661680057
122683253000
131323aa106c
148d2741808
15523703169
hex31285f140

13195669824 has 392 divisors, whose sum is σ = 42216311808. Its totient is φ = 4075868160.

The previous prime is 13195669787. The next prime is 13195669843. The reversal of 13195669824 is 42896659131.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 100730239 + ... + 100730369.

Almost surely, 213195669824 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 13195669824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108155904).

13195669824 is an abundant number, since it is smaller than the sum of its proper divisors (29020641984).

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

13195669824 is a wasteful number, since it uses less digits than its factorization.

13195669824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 13195669824 in words is "thirteen billion, one hundred ninety-five million, six hundred sixty-nine thousand, eight hundred twenty-four".