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5146215322050 = 23252116469160711
BaseRepresentation
bin100101011100011001001…
…0101100001000111000010
3200012222021121001002011100
41022320302111201013002
51133303422110301200
614540045542155230
71040542004330655
oct112706225410702
920188247032140
105146215322050
11170455242a0a0
126b1455122b16
132b43945123ca
1413b11463389c
158dce8e0ed00
hex4ae325611c2

5146215322050 has 144 divisors (see below), whose sum is σ = 15085514733120. Its totient is φ = 1247366736000.

The previous prime is 5146215322009. The next prime is 5146215322093. The reversal of 5146215322050 is 502235126415.

5146215322050 is a `hidden beast` number, since 5 + 1 + 4 + 621 + 5 + 3 + 2 + 20 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5146215321996 and 5146215322014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31941195 + ... + 32101905.

It is an arithmetic number, because the mean of its divisors is an integer number (104760518980).

Almost surely, 25146215322050 is an apocalyptic number.

5146215322050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5146215322050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542757366560).

5146215322050 is an abundant number, since it is smaller than the sum of its proper divisors (9939299411070).

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

5146215322050 is a wasteful number, since it uses less digits than its factorization.

5146215322050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167209 (or 167201 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 5146215322050 in words is "five trillion, one hundred forty-six billion, two hundred fifteen million, three hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 6469 12938 19407 32345 38814 58221 64690 71159 97035 116442 142318 160711 161725 194070 213477 291105 321422 323450 355795 426954 482133 485175 582210 640431 711590 803555 964266 970350 1067385 1280862 1446399 1455525 1607110 1767821 1778975 2134770 2410665 2892798 2911050 3202155 3535642 3557950 4017775 4821330 5303463 5336925 6404310 7231995 8035550 8839105 10606926 10673850 12053325 14463990 15910389 16010775 17678210 24106650 26517315 31820778 32021550 36159975 44195525 53034630 72319950 79551945 88391050 132586575 159103890 265173150 397759725 795519450 1039639459 2079278918 3118918377 5198197295 6237836754 9356755131 10396394590 11436034049 15594591885 18713510262 22872068098 25990986475 31189183770 34308102147 46783775655 51981972950 57180170245 68616204294 77972959425 93567551310 102924306441 114360340490 155945918850 171540510735 205848612882 233918878275 285900851225 343081021470 467837756550 514621532205 571801702450 857702553675 1029243064410 1715405107350 2573107661025 5146215322050