Search a number
-
+
11339809920 = 273353121169
BaseRepresentation
bin10101000111110011…
…11100010010000000
31002021021212000211000
422203321330102000
5141210442404140
65113123252000
7551003536215
oct124371742200
932237760730
1011339809920
11489a03303a
12224581a000
1310b94535ca
14798087b0c
15465813a30
hex2a3e7c480

11339809920 has 256 divisors, whose sum is σ = 41459328000. Its totient is φ = 2926264320.

The previous prime is 11339809891. The next prime is 11339809927. The reversal of 11339809920 is 2990893311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11339809927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525096 + ... + 546264.

It is an arithmetic number, because the mean of its divisors is an integer number (161950500).

Almost surely, 211339809920 is an apocalyptic number.

11339809920 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 11339809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20729664000).

11339809920 is an abundant number, since it is smaller than the sum of its proper divisors (30119518080).

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

11339809920 is a wasteful number, since it uses less digits than its factorization.

11339809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21228 (or 21210 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 11339809920 in words is "eleven billion, three hundred thirty-nine million, eight hundred nine thousand, nine hundred twenty".