Search a number
-
+
11843328420 = 223257211592069
BaseRepresentation
bin10110000011110101…
…01101100110100100
31010120101022102100100
423001322231212210
5143223343002140
65235111344100
7566326426200
oct130172554644
933511272310
1011843328420
115028282a30
122366382030
13116986b051
14804cb7b00
15494b24530
hex2c1ead9a4

11843328420 has 432 divisors, whose sum is σ = 46384228800. Its totient is φ = 2418071040.

The previous prime is 11843328407. The next prime is 11843328437. The reversal of 11843328420 is 2482334811.

It is a happy number.

11843328420 is a `hidden beast` number, since 1 + 184 + 33 + 28 + 420 = 666.

11843328420 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 (36).

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 143 ways as a sum of consecutive naturals, for example, 5723146 + ... + 5725214.

It is an arithmetic number, because the mean of its divisors is an integer number (107370900).

Almost surely, 211843328420 is an apocalyptic number.

11843328420 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 11843328420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23192114400).

11843328420 is an abundant number, since it is smaller than the sum of its proper divisors (34540900380).

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

11843328420 is a wasteful number, since it uses less digits than its factorization.

11843328420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11843328420 in words is "eleven billion, eight hundred forty-three million, three hundred twenty-eight thousand, four hundred twenty".