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5352343313120 = 25547846184121
BaseRepresentation
bin100110111100011000010…
…0001011001101011100000
3200221200100000012222001222
41031320300201121223200
51200143044342004440
615214455500314212
71061460025336106
oct115706041315340
920850300188058
105352343313120
111783a092a0721
127253a0b42968
132ca9542915ab
141470aa51dc76
15943603502b5
hex4de30859ae0

5352343313120 has 96 divisors (see below), whose sum is σ = 12915631564416. Its totient is φ = 2095112908800.

The previous prime is 5352343313087. The next prime is 5352343313123. The reversal of 5352343313120 is 213133432535.

It is a super-3 number, since 3×53523433131203 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352343313123) 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, 63584660 + ... + 63668780.

It is an arithmetic number, because the mean of its divisors is an integer number (134537828796).

Almost surely, 25352343313120 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 5352343313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457815782208).

5352343313120 is an abundant number, since it is smaller than the sum of its proper divisors (7563288251296).

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

5352343313120 is a wasteful number, since it uses less digits than its factorization.

5352343313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92644 (or 92636 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 5352343313120 its reverse (213133432535), we get a palindrome (5565476745655).

The spelling of 5352343313120 in words is "five trillion, three hundred fifty-two billion, three hundred forty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 8461 16922 33844 42305 67688 84121 84610 135376 168242 169220 270752 336484 338440 397667 420605 672968 676880 795334 841210 1345936 1353760 1590668 1682420 1988335 2691872 3181336 3364840 3953687 3976670 6362672 6729680 7907374 7953340 12725344 13459360 15814748 15906680 19768435 31629496 31813360 39536870 63258992 63626720 79073740 126517984 158147480 316294960 632589920 711747781 1423495562 2846991124 3558738905 5693982248 7117477810 11387964496 14234955620 22775928992 28469911240 33452145707 56939822480 66904291414 113879644960 133808582828 167260728535 267617165656 334521457070 535234331312 669042914140 1070468662624 1338085828280 2676171656560 5352343313120