Search a number
-
+
10024055344 = 243120209789
BaseRepresentation
bin10010101010111101…
…01111001000110000
3221212121000202212001
421111132233020300
5131012124232334
64334402143344
7503256031102
oct112536571060
927777022761
1010024055344
114284355166
121b39051b54
13c399906c4
146b1425572
153da060714
hex2557af230

10024055344 has 20 divisors (see below), whose sum is σ = 20048111680. Its totient is φ = 4850349120.

The previous prime is 10024055341. The next prime is 10024055347. The reversal of 10024055344 is 44355042001.

10024055344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10024055341) and next prime (10024055347).

10024055344 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10024055341) 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 3 ways as a sum of consecutive naturals, for example, 10104399 + ... + 10105390.

It is an arithmetic number, because the mean of its divisors is an integer number (1002405584).

Almost surely, 210024055344 is an apocalyptic number.

It is an amenable number.

10024055344 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10024055344 is a wasteful number, since it uses less digits than its factorization.

10024055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20209828 (or 20209822 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 10024055344 its reverse (44355042001), we get a palindrome (54379097345).

The spelling of 10024055344 in words is "ten billion, twenty-four million, fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 20209789 40419578 80839156 161678312 323356624 626503459 1253006918 2506013836 5012027672 10024055344