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10324144656 = 24377113373
BaseRepresentation
bin10011001110101110…
…11111001000010000
3222122111200220000000
421213113133020100
5132120440112111
64424242130000
7513561532050
oct114727371020
928574626000
1010324144656
11441878a761
122001650900
13c86bc0047
146dd21d560
1540658ac56
hex2675df210

10324144656 has 320 divisors, whose sum is σ = 34681827840. Its totient is φ = 2915813376.

The previous prime is 10324144651. The next prime is 10324144673. The reversal of 10324144656 is 65644142301.

10324144656 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 self number, because there is not a number n which added to its sum of digits gives 10324144656.

It is not an unprimeable number, because it can be changed into a prime (10324144651) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27678486 + ... + 27678858.

It is an arithmetic number, because the mean of its divisors is an integer number (108380712).

Almost surely, 210324144656 is an apocalyptic number.

10324144656 is a gapful number since it is divisible by the number (16) 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 10324144656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340913920).

10324144656 is an abundant number, since it is smaller than the sum of its proper divisors (24357683184).

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

10324144656 is an equidigital number, since it uses as much as digits as its factorization.

10324144656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10324144656 its reverse (65644142301), we get a palindrome (75968286957).

The spelling of 10324144656 in words is "ten billion, three hundred twenty-four million, one hundred forty-four thousand, six hundred fifty-six".