Search a number
-
+
24420012035010 = 23531831572015047
BaseRepresentation
bin1011000110101101110100…
…01001001000101111000010
310012110112022121220021202120
411203112322021020233002
511200044141040110020
6123534222035425110
75100200443306314
oct543267211105702
9105415277807676
1024420012035010
117865518190109
1228a4918755196
131081a4974a327
14605d134997b4
152c5349581740
hex1635ba248bc2

24420012035010 has 128 divisors (see below), whose sum is σ = 61617524097024. Its totient is φ = 6186352423680.

The previous prime is 24420012034987. The next prime is 24420012035087. The reversal of 24420012035010 is 1053021002442.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11111307 + ... + 13126353.

It is an arithmetic number, because the mean of its divisors is an integer number (481386907008).

Almost surely, 224420012035010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24420012035010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808762048512).

24420012035010 is an abundant number, since it is smaller than the sum of its proper divisors (37197512062014).

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

24420012035010 is a wasteful number, since it uses less digits than its factorization.

24420012035010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015328.

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

Adding to 24420012035010 its reverse (1053021002442), we get a palindrome (25473033037452).

The spelling of 24420012035010 in words is "twenty-four trillion, four hundred twenty billion, twelve million, thirty-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 83 93 155 157 166 186 249 310 314 415 465 471 498 785 830 930 942 1245 1570 2355 2490 2573 4710 4867 5146 7719 9734 12865 13031 14601 15438 24335 25730 26062 29202 38595 39093 48670 65155 73005 77190 78186 130310 146010 195465 390930 403961 807922 1211883 2015047 2019805 2423766 4030094 4039610 6045141 6059415 10075235 12090282 12118830 20150470 30225705 60451410 62466457 124932914 167248901 187399371 312332285 316362379 334497802 374798742 501746703 624664570 632724758 836244505 936996855 949087137 1003493406 1581811895 1672489010 1873993710 1898174274 2508733515 3163623790 4745435685 5017467030 5184715931 9490871370 9807233749 10369431862 15554147793 19614467498 25923579655 26258077457 29421701247 31108295586 49036168745 51847159310 52516154914 58843402494 77770738965 78774232371 98072337490 131290387285 147108506235 155541477930 157548464742 262580774570 294217012470 393871161855 787742323710 814000401167 1628000802334 2442001203501 4070002005835 4884002407002 8140004011670 12210006017505 24420012035010