Search a number
-
+
13175047872 = 26377217113
BaseRepresentation
bin11000100010100101…
…10100011011000000
31021000012011210000000
430101102310123000
5203440303012442
610015203000000
7644330026200
oct142122643300
937005153000
1013175047872
115650a75518
122678369000
13131c73081c
148cdad4400
155219ccd4c
hex3114b46c0

13175047872 has 672 divisors, whose sum is σ = 48722523840. Its totient is φ = 3511517184.

The previous prime is 13175047867. The next prime is 13175047903. The reversal of 13175047872 is 27874057131.

13175047872 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 504 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 116593288 + ... + 116593400.

Almost surely, 213175047872 is an apocalyptic number.

13175047872 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 13175047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361261920).

13175047872 is an abundant number, since it is smaller than the sum of its proper divisors (35547475968).

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

13175047872 is an equidigital number, since it uses as much as digits as its factorization.

13175047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 13175047872 in words is "thirteen billion, one hundred seventy-five million, forty-seven thousand, eight hundred seventy-two".