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24330024420 = 223513106129399
BaseRepresentation
bin10110101010001011…
…101011010111100100
32022210121020022002120
4112222023223113210
5344311441240140
615102124505540
71520630536542
oct265213532744
968717208076
1024330024420
11a3557344a9
1248700ab2b0
1323a97aa270
14126b3c6d92
15975e811d0
hex5aa2eb5e4

24330024420 has 96 divisors (see below), whose sum is σ = 73436025600. Its totient is φ = 5983080960.

The previous prime is 24330024401. The next prime is 24330024421. The reversal of 24330024420 is 2442003342.

It is not an unprimeable number, because it can be changed into a prime (24330024421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812881 + ... + 842279.

It is an arithmetic number, because the mean of its divisors is an integer number (764958600).

Almost surely, 224330024420 is an apocalyptic number.

24330024420 is a gapful number since it is divisible by the number (20) 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 24330024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36718012800).

24330024420 is an abundant number, since it is smaller than the sum of its proper divisors (49106001180).

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

24330024420 is a wasteful number, since it uses less digits than its factorization.

24330024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30485 (or 30483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 24330024420 its reverse (2442003342), we get a palindrome (26772027762).

The spelling of 24330024420 in words is "twenty-four billion, three hundred thirty million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1061 2122 3183 4244 5305 6366 10610 12732 13793 15915 21220 27586 29399 31830 41379 55172 58798 63660 68965 82758 88197 117596 137930 146995 165516 176394 206895 275860 293990 352788 382187 413790 440985 587980 764374 827580 881970 1146561 1528748 1763940 1910935 2293122 3821870 4586244 5732805 7643740 11465610 22931220 31192339 62384678 93577017 124769356 155961695 187154034 311923390 374308068 405500407 467885085 623846780 811000814 935770170 1216501221 1622001628 1871540340 2027502035 2433002442 4055004070 4866004884 6082506105 8110008140 12165012210 24330024420