Search a number
-
+
13227346080 = 2532513337113
BaseRepresentation
bin11000101000110100…
…10100100010100000
31021010211120210122200
430110122110202200
5204042200033310
610024311533200
7645533405124
oct142432244240
937124523580
1013227346080
115678545983
12269198a200
13132a512000
148d6a29584
155263ad9c0
hex3146948a0

13227346080 has 576 divisors, whose sum is σ = 50664126240. Its totient is φ = 3139928064.

The previous prime is 13227346031. The next prime is 13227346087. The reversal of 13227346080 is 8064372231.

It is a happy number.

13227346080 is a `hidden beast` number, since 13 + 2 + 2 + 7 + 34 + 608 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6217637904 + 7009708176 = 78852^2 + 83724^2 .

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 (13227346087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117056104 + ... + 117056216.

Almost surely, 213227346080 is an apocalyptic number.

13227346080 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 13227346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25332063120).

13227346080 is an abundant number, since it is smaller than the sum of its proper divisors (37436780160).

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

13227346080 is a wasteful number, since it uses less digits than its factorization.

13227346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13227346080 in words is "thirteen billion, two hundred twenty-seven million, three hundred forty-six thousand, eighty".