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11340500424 = 23311243197461
BaseRepresentation
bin10101000111111001…
…00100110111001000
31002021100011010000020
422203330210313020
5141211132003144
65113150140440
7551012443311
oct124374446710
932240133006
1011340500424
11489a464900
122245ab1720
1310b96359a6
147981c7608
154658ed419
hex2a3f24dc8

11340500424 has 192 divisors, whose sum is σ = 32119053120. Its totient is φ = 3332313600.

The previous prime is 11340500419. The next prime is 11340500447. The reversal of 11340500424 is 42400504311.

11340500424 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 11340500394 and 11340500403.

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 47 ways as a sum of consecutive naturals, for example, 24599554 + ... + 24600014.

It is an arithmetic number, because the mean of its divisors is an integer number (167286735).

Almost surely, 211340500424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340500424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16059526560).

11340500424 is an abundant number, since it is smaller than the sum of its proper divisors (20778552696).

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

11340500424 is a wasteful number, since it uses less digits than its factorization.

11340500424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 11340500424 in words is "eleven billion, three hundred forty million, five hundred thousand, four hundred twenty-four".