Search a number
-
+
11313684480 = 21335721879
BaseRepresentation
bin10101000100101100…
…10010000000000000
31002012110200201110010
422202112102000000
5141132300400410
65110351304520
7550235505600
oct124226220000
932173621403
1011313684480
11488630966a
122238b1b140
1310b3c07077
14794806c00
154633a2c20
hex2a2592000

11313684480 has 336 divisors, whose sum is σ = 42134454720. Its totient is φ = 2584608768.

The previous prime is 11313684469. The next prime is 11313684493. The reversal of 11313684480 is 8448631311.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6020181 + ... + 6022059.

Almost surely, 211313684480 is an apocalyptic number.

11313684480 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 11313684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067227360).

11313684480 is an abundant number, since it is smaller than the sum of its proper divisors (30820770240).

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

11313684480 is an equidigital number, since it uses as much as digits as its factorization.

11313684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 11313684480 in words is "eleven billion, three hundred thirteen million, six hundred eighty-four thousand, four hundred eighty".