Search a number
-
+
5652002303200 = 2552112812285669
BaseRepresentation
bin101001000111111010110…
…0101101110110011100000
3202000022210202110220011001
41102033311211232303200
51220100300042200300
620004254412401344
71122225612616441
oct122176545566340
922008722426131
105652002303200
11188a000a53140
12773490176254
1331cc9b563c86
141577b62552c8
159c04caee16a
hex523f596ece0

5652002303200 has 144 divisors (see below), whose sum is σ = 15105883317840. Its totient is φ = 2047958528000.

The previous prime is 5652002303107. The next prime is 5652002303201. The reversal of 5652002303200 is 23032002565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652002303201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329966 + ... + 3615634.

It is an arithmetic number, because the mean of its divisors is an integer number (104901967485).

Almost surely, 25652002303200 is an apocalyptic number.

5652002303200 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 5652002303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552941658920).

5652002303200 is an abundant number, since it is smaller than the sum of its proper divisors (9453881014640).

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

5652002303200 is a wasteful number, since it uses less digits than its factorization.

5652002303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285981 (or 2285968 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 5652002303200 its reverse (23032002565), we get a palindrome (5675034305765).

The spelling of 5652002303200 in words is "five trillion, six hundred fifty-two billion, two million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 281 352 400 440 550 562 800 880 1100 1124 1405 1760 2200 2248 2810 3091 4400 4496 5620 6182 7025 8800 8992 11240 12364 14050 15455 22480 24728 28100 30910 44960 49456 56200 61820 77275 98912 112400 123640 154550 224800 247280 309100 494560 618200 1236400 2285669 2472800 4571338 9142676 11428345 18285352 22856690 25142359 36570704 45713380 50284718 57141725 73141408 91426760 100569436 114283450 125711795 182853520 201138872 228566900 251423590 365707040 402277744 457133800 502847180 628558975 642272989 804555488 914267600 1005694360 1257117950 1284545978 1828535200 2011388720 2514235900 2569091956 3211364945 4022777440 5028471800 5138183912 6422729890 7065002879 10056943600 10276367824 12845459780 14130005758 16056824725 20113887200 20552735648 25690919560 28260011516 32113649450 35325014395 51381839120 56520023032 64227298900 70650028790 102763678240 113040046064 128454597800 141300057580 176625071975 226080092128 256909195600 282600115160 353250143950 513818391200 565200230320 706500287900 1130400460640 1413000575800 2826001151600 5652002303200