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5502055002400 = 2552111993141877
BaseRepresentation
bin101000000010000110000…
…0010001011000100100000
3201110222202200011202222201
41100010030002023010200
51210121202040034100
615411335325342544
71105340023604245
oct120041402130440
921428680152881
105502055002400
111831454679750
1274a403107a54
1330bac2ba6698
1415042d8a15cc
15981c397e36a
hex5010c08b120

5502055002400 has 144 divisors (see below), whose sum is σ = 14726610561600. Its totient is φ = 1990692633600.

The previous prime is 5502055002391. The next prime is 5502055002401. The reversal of 5502055002400 is 42005502055.

It is not an unprimeable number, because it can be changed into a prime (5502055002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180262 + ... + 3322138.

It is an arithmetic number, because the mean of its divisors is an integer number (102268128900).

Almost surely, 25502055002400 is an apocalyptic number.

5502055002400 is a gapful number since it is divisible by the number (50) 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 5502055002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363305280800).

5502055002400 is an abundant number, since it is smaller than the sum of its proper divisors (9224555559200).

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

5502055002400 is a wasteful number, since it uses less digits than its factorization.

5502055002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142107 (or 3142094 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The spelling of 5502055002400 in words is "five trillion, five hundred two billion, fifty-five million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 199 200 220 275 352 398 400 440 550 796 800 880 995 1100 1592 1760 1990 2189 2200 3184 3980 4378 4400 4975 6368 7960 8756 8800 9950 10945 15920 17512 19900 21890 31840 35024 39800 43780 54725 70048 79600 87560 109450 159200 175120 218900 350240 437800 875600 1751200 3141877 6283754 12567508 15709385 25135016 31418770 34560647 50270032 62837540 69121294 78546925 100540064 125675080 138242588 157093850 172803235 251350160 276485176 314187700 345606470 502700320 552970352 625233523 628375400 691212940 864016175 1105940704 1250467046 1256750800 1382425880 1728032350 2500934092 2513501600 2764851760 3126167615 3456064700 5001868184 5529703520 6252335230 6877568753 6912129400 10003736368 12504670460 13755137506 13824258800 15630838075 20007472736 25009340920 27510275012 27648517600 31261676150 34387843765 50018681840 55020550024 62523352300 68775687530 100037363680 110041100048 125046704600 137551375060 171939218825 220082200096 250093409200 275102750120 343878437650 500186818400 550205500240 687756875300 1100411000480 1375513750600 2751027501200 5502055002400