Search a number
-
+
24530918040 = 233552523757
BaseRepresentation
bin10110110110001010…
…000001101010011000
32100022121020202100000
4112312022001222120
5400214403334130
615134102413000
71525620235326
oct266612015230
970277222300
1024530918040
11a449077892
124907431160
13240c2b8225
141289d5cd16
15988915260
hex5b6281a98

24530918040 has 96 divisors (see below), whose sum is σ = 82678312080. Its totient is φ = 6541575552.

The previous prime is 24530918039. The next prime is 24530918057. The reversal of 24530918040 is 4081903542.

24530918040 is a `hidden beast` number, since 2 + 4 + 530 + 9 + 1 + 80 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24530917986 and 24530918004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252159 + ... + 1271598.

Almost surely, 224530918040 is an apocalyptic number.

24530918040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24530918040 is an abundant number, since it is smaller than the sum of its proper divisors (58147394040).

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

24530918040 is a wasteful number, since it uses less digits than its factorization.

24530918040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523783 (or 2523767 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 24530918040 in words is "twenty-four billion, five hundred thirty million, nine hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 2523757 5047514 7571271 10095028 12618785 15142542 20190056 22713813 25237570 30285084 37856355 45427626 50475140 60570168 68141439 75712710 90855252 100950280 113569065 136282878 151425420 181710504 204424317 227138130 272565756 302850840 340707195 408848634 454276260 545131512 613272951 681414390 817697268 908552520 1022121585 1226545902 1362828780 1635394536 2044243170 2453091804 2725657560 3066364755 4088486340 4906183608 6132729510 8176972680 12265459020 24530918040