Search a number
-
+
13281898080 = 2535117573323
BaseRepresentation
bin11000101111010100…
…11010111001100000
31021021122020022221010
430113222122321200
5204200131214310
610033541100520
7650065161633
oct142752327140
937248208833
1013281898080
1156a6315680
1226a80b7740
1313389022b9
148ddd89c1a
1552b087320
hex317a9ae60

13281898080 has 192 divisors, whose sum is σ = 45715477248. Its totient is φ = 3214632960.

The previous prime is 13281898051. The next prime is 13281898121. The reversal of 13281898080 is 8089818231.

13281898080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3995299 + ... + 3998621.

It is an arithmetic number, because the mean of its divisors is an integer number (238101444).

Almost surely, 213281898080 is an apocalyptic number.

13281898080 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 13281898080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22857738624).

13281898080 is an abundant number, since it is smaller than the sum of its proper divisors (32433579168).

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

13281898080 is a wasteful number, since it uses less digits than its factorization.

13281898080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 13281898080 in words is "thirteen billion, two hundred eighty-one million, eight hundred ninety-eight thousand, eighty".