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24212013411104 = 2529431135369527
BaseRepresentation
bin1011000000101010011000…
…11101010110101100100000
310011201122102211210102000022
411200111030131112230200
511133142200413123404
6123254502335213012
75046155156213141
oct540251435265440
9104648384712008
1024212013411104
117795291401432
12287054a377168
13106824c27a4cc
145d9c20d8bac8
152bec23cd48be
hex16054c756b20

24212013411104 has 96 divisors (see below), whose sum is σ = 50904414126720. Its totient is φ = 11315696136192.

The previous prime is 24212013411077. The next prime is 24212013411109. The reversal of 24212013411104 is 40111431021242.

It is not an unprimeable number, because it can be changed into a prime (24212013411109) 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 15 ways as a sum of consecutive naturals, for example, 1824389 + ... + 7193915.

It is an arithmetic number, because the mean of its divisors is an integer number (530254313820).

Almost surely, 224212013411104 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 24212013411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452207063360).

24212013411104 is an abundant number, since it is smaller than the sum of its proper divisors (26692400715616).

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

24212013411104 is a wasteful number, since it uses less digits than its factorization.

24212013411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369722 (or 5369714 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 24212013411104 its reverse (40111431021242), we get a palindrome (64323444432346).

The spelling of 24212013411104 in words is "twenty-four trillion, two hundred twelve billion, thirteen million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 43 58 86 113 116 172 226 232 344 452 464 688 904 928 1247 1376 1808 2494 3277 3616 4859 4988 6554 9718 9976 13108 19436 19952 26216 38872 39904 52432 77744 104864 140911 155488 281822 563644 1127288 2254576 4509152 5369527 10739054 21478108 42956216 85912432 155716283 171824864 230889661 311432566 461779322 606756551 622865132 923558644 1213513102 1245730264 1847117288 2427026204 2491460528 3694234576 4854052408 4982921056 6695800169 7388469152 9708104816 13391600338 17595939979 19416209632 26090531693 26783200676 35191879958 52181063386 53566401352 70383759916 104362126772 107132802704 140767519832 208724253544 214265605408 281535039664 417448507088 563070079328 756625419097 834897014176 1513250838194 3026501676388 6053003352776 12106006705552 24212013411104