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24968968752 = 2437135779907
BaseRepresentation
bin10111010000010001…
…000011101000110000
32101110010112000221110
4113100101003220300
5402114024000002
615245351353320
71542516506160
oct272021035060
971403460843
1024968968752
11a653371872
124a0a082840
13247bc90030
1412cc1ca5a0
159b20e2e6c
hex5d0443a30

24968968752 has 160 divisors (see below), whose sum is σ = 79534131712. Its totient is φ = 6573146112.

The previous prime is 24968968747. The next prime is 24968968789. The reversal of 24968968752 is 25786986942.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515383 + ... + 2525289.

Almost surely, 224968968752 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 24968968752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39767065856).

24968968752 is an abundant number, since it is smaller than the sum of its proper divisors (54565162960).

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

24968968752 is a wasteful number, since it uses less digits than its factorization.

24968968752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10509 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 24968968752 in words is "twenty-four billion, nine hundred sixty-eight million, nine hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 577 624 728 1092 1154 1456 1731 2184 2308 3462 4039 4368 4616 6924 7501 8078 9232 9907 12117 13848 15002 16156 19814 22503 24234 27696 29721 30004 32312 39628 45006 48468 52507 59442 60008 64624 69349 79256 90012 96936 105014 118884 120016 128791 138698 157521 158512 180024 193872 208047 210028 237768 257582 277396 315042 360048 386373 416094 420056 475536 515164 554792 630084 772746 832188 840112 901537 1030328 1109584 1260168 1545492 1664376 1803074 2060656 2520336 2704611 3090984 3328752 3606148 5409222 5716339 6181968 7212296 10818444 11432678 14424592 17149017 21636888 22865356 34298034 40014373 43273776 45730712 68596068 74312407 80028746 91461424 120043119 137192136 148624814 160057492 222937221 240086238 274384272 297249628 320114984 445874442 480172476 520186849 594499256 640229968 891748884 960344952 1040373698 1188998512 1560560547 1783497768 1920689904 2080747396 3121121094 3566995536 4161494792 6242242188 8322989584 12484484376 24968968752