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24206565042 = 2351116327779
BaseRepresentation
bin10110100010110100…
…101101111010110010
32022110222220220200000
4112202310231322302
5344033340040132
615041554410430
71514601256632
oct264264557262
968428826600
1024206565042
11a2a1a7a660
124836890a16
13238a04188a
141258c4a6c2
1596a1e587c
hex5a2d2deb2

24206565042 has 96 divisors (see below), whose sum is σ = 59700775680. Its totient is φ = 7290058320.

The previous prime is 24206565029. The next prime is 24206565067. The reversal of 24206565042 is 24056560242.

It is a super-2 number, since 2×242065650422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24206564988 and 24206565006.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 857509 + ... + 885287.

It is an arithmetic number, because the mean of its divisors is an integer number (621883080).

Almost surely, 224206565042 is an apocalyptic number.

24206565042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24206565042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29850387840).

24206565042 is an abundant number, since it is smaller than the sum of its proper divisors (35494210638).

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

24206565042 is a wasteful number, since it uses less digits than its factorization.

24206565042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27970 (or 27958 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 24206565042 in words is "twenty-four billion, two hundred six million, five hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 163 198 243 297 326 486 489 594 891 978 1467 1782 1793 2673 2934 3586 4401 5346 5379 8802 10758 13203 16137 26406 27779 32274 39609 48411 55558 79218 83337 96822 145233 166674 250011 290466 305569 435699 500022 611138 750033 871398 916707 1500066 1833414 2250099 2750121 4500198 4527977 5500242 6750297 8250363 9055954 13500594 13583931 16500726 24751089 27167862 40751793 49502178 49807747 74253267 81503586 99615494 122255379 148506534 149423241 244510758 298846482 366766137 448269723 733532274 896539446 1100298411 1344809169 2200596822 2689618338 4034427507 8068855014 12103282521 24206565042