Search a number
-
+
24922705104 = 24331144311839
BaseRepresentation
bin10111001101100000…
…100100110011010000
32101022220110121011000
4113031200210303100
5402020203030404
615241020022000
71541415332553
oct271540446320
971286417130
1024922705104
11a62a243250
1249b6691900
1324725124ab
1412c5dc669a
159ad005339
hex5cd824cd0

24922705104 has 160 divisors (see below), whose sum is σ = 78223564800. Its totient is φ = 7534650240.

The previous prime is 24922705103. The next prime is 24922705121. The reversal of 24922705104 is 40150722942.

It is a super-2 number, since 2×249227051042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24922705103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2099217 + ... + 2111055.

It is an arithmetic number, because the mean of its divisors is an integer number (488897280).

Almost surely, 224922705104 is an apocalyptic number.

24922705104 is a gapful number since it is divisible by the number (24) 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 24922705104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39111782400).

24922705104 is an abundant number, since it is smaller than the sum of its proper divisors (53300859696).

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

24922705104 is a wasteful number, since it uses less digits than its factorization.

24922705104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 24922705104 in words is "twenty-four billion, nine hundred twenty-two million, seven hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 443 528 594 792 886 1188 1329 1584 1772 2376 2658 3544 3987 4752 4873 5316 7088 7974 9746 10632 11839 11961 14619 15948 19492 21264 23678 23922 29238 31896 35517 38984 43857 47356 47844 58476 63792 71034 77968 87714 94712 95688 106551 116952 130229 131571 142068 175428 189424 191376 213102 233904 260458 263142 284136 319653 350856 390687 426204 520916 526284 568272 639306 701712 781374 852408 1041832 1052568 1172061 1278612 1562748 1704816 2083664 2105136 2344122 2557224 3125496 3516183 4688244 5114448 5244677 6250992 7032366 9376488 10489354 14064732 15734031 18752976 20978708 28129464 31468062 41957416 47202093 56258928 57691447 62936124 83914832 94404186 115382894 125872248 141606279 173074341 188808372 230765788 251744496 283212558 346148682 377616744 461531576 519223023 566425116 692297364 755233488 923063152 1038446046 1132850232 1384594728 1557669069 2076892092 2265700464 2769189456 3115338138 4153784184 6230676276 8307568368 12461352552 24922705104