Search a number
-
+
13253320080 = 243257211133771
BaseRepresentation
bin11000101011111010…
…11001110110010000
31021012122110102021200
430111331121312100
5204120322220310
610031040351200
7646300235100
oct142575316620
937178412250
1013253320080
1156911765a0
12269a615500
131332a07640
148da26b200
155287de9c0
hex315f59d90

13253320080 has 1440 divisors, whose sum is σ = 63351445248. Its totient is φ = 2438553600.

The previous prime is 13253320039. The next prime is 13253320081. The reversal of 13253320080 is 8002335231.

13253320080 is a `hidden beast` number, since 1 + 32 + 533 + 20 + 0 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (13253320081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 186666445 + ... + 186666515.

Almost surely, 213253320080 is an apocalyptic number.

13253320080 is a gapful number since it is divisible by the number (10) 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 13253320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31675722624).

13253320080 is an abundant number, since it is smaller than the sum of its proper divisors (50098125168).

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

13253320080 is a wasteful number, since it uses less digits than its factorization.

13253320080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

It can be divided in two parts, 13253 and 320080, that added together give a palindrome (333333).

The spelling of 13253320080 in words is "thirteen billion, two hundred fifty-three million, three hundred twenty thousand, eighty".