Search a number
-
+
24104203424 = 257474914663
BaseRepresentation
bin10110011100101110…
…001111010010100000
32022012212022101220222
4112130232033102200
5343331134002144
615023500422212
71512216230360
oct263456172240
968185271828
1024104203424
11a24a215884
124808547968
132371a82182
1412494029a0
159612262ee
hex59cb8f4a0

24104203424 has 96 divisors (see below), whose sum is σ = 55513092096. Its totient is φ = 10087822080.

The previous prime is 24104203411. The next prime is 24104203463. The reversal of 24104203424 is 42430240142.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 24104203393 and 24104203402.

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 15 ways as a sum of consecutive naturals, for example, 5166917 + ... + 5171579.

It is an arithmetic number, because the mean of its divisors is an integer number (578261376).

Almost surely, 224104203424 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 24104203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27756546048).

24104203424 is an abundant number, since it is smaller than the sum of its proper divisors (31408888672).

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

24104203424 is a wasteful number, since it uses less digits than its factorization.

24104203424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 24104203424 its reverse (42430240142), we get a palindrome (66534443566).

The spelling of 24104203424 in words is "twenty-four billion, one hundred four million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 491 658 752 982 1316 1504 1964 2632 3437 3928 4663 5264 6874 7856 9326 10528 13748 15712 18652 23077 27496 32641 37304 46154 54992 65282 74608 92308 109984 130564 149216 161539 184616 219161 261128 323078 369232 438322 522256 646156 738464 876644 1044512 1292312 1534127 1753288 2289533 2584624 3068254 3506576 4579066 5169248 6136508 7013152 9158132 12273016 16026731 18316264 24546032 32053462 36632528 49092064 64106924 73265056 107608051 128213848 215216102 256427696 430432204 512855392 753256357 860864408 1506512714 1721728816 3013025428 3443457632 6026050856 12052101712 24104203424