Search a number
-
+
13512425472 = 214327131953
BaseRepresentation
bin11001001010110011…
…10100000000000000
31021212201000100001200
430211121310000000
5210133140103342
610112454101200
7655564502310
oct144531640000
937781010050
1013512425472
115804459287
12275134a800
1313745b7640
14922837440
1554142194c
hex325674000

13512425472 has 720 divisors, whose sum is σ = 51525452160. Its totient is φ = 3312451584.

The previous prime is 13512425471. The next prime is 13512425513. The reversal of 13512425472 is 27452421531.

13512425472 is a `hidden beast` number, since 135 + 12 + 42 + 5 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13512425471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254951398 + ... + 254951450.

It is an arithmetic number, because the mean of its divisors is an integer number (71563128).

Almost surely, 213512425472 is an apocalyptic number.

13512425472 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 13512425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25762726080).

13512425472 is an abundant number, since it is smaller than the sum of its proper divisors (38013026688).

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

13512425472 is a wasteful number, since it uses less digits than its factorization.

13512425472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 13512425472 in words is "thirteen billion, five hundred twelve million, four hundred twenty-five thousand, four hundred seventy-two".