Search a number
-
+
4252722057300 = 2235219881846869
BaseRepresentation
bin111101111000101001111…
…111001101000001010100
3120001120000111211101200110
4331320221333031001110
51024134033321313200
613013401252443020
7616151263024023
oct75705177150124
916046014741613
104252722057300
11139a629807852
12588258019470
1324b050ac4a02
14109b934868ba
1575952c64b50
hex3de29fcd054

4252722057300 has 144 divisors (see below), whose sum is σ = 12966866942400. Its totient is φ = 1073151129600.

The previous prime is 4252722057239. The next prime is 4252722057341. The reversal of 4252722057300 is 37502272524.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4598266 + ... + 5445134.

It is an arithmetic number, because the mean of its divisors is an integer number (90047687100).

Almost surely, 24252722057300 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 4252722057300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483433471200).

4252722057300 is an abundant number, since it is smaller than the sum of its proper divisors (8714144885100).

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

4252722057300 is a wasteful number, since it uses less digits than its factorization.

4252722057300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847786 (or 847779 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 39.

The spelling of 4252722057300 in words is "four trillion, two hundred fifty-two billion, seven hundred twenty-two million, fifty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 881 950 1140 1425 1762 1900 2643 2850 3524 4405 5286 5700 8810 10572 13215 16739 17620 22025 26430 33478 44050 50217 52860 66075 66956 83695 88100 100434 132150 167390 200868 251085 264300 334780 418475 502170 836950 846869 1004340 1255425 1673900 1693738 2510850 2540607 3387476 4234345 5021700 5081214 8468690 10162428 12703035 16090511 16937380 21171725 25406070 32181022 42343450 48271533 50812140 63515175 64362044 80452555 84686900 96543066 127030350 160905110 193086132 241357665 254060700 321810220 402262775 482715330 746091589 804525550 965430660 1206788325 1492183178 1609051100 2238274767 2413576650 2984366356 3730457945 4476549534 4827153300 7460915890 8953099068 11191373835 14175740191 14921831780 18652289725 22382747670 28351480382 37304579450 42527220573 44765495340 55956869175 56702960764 70878700955 74609158900 85054441146 111913738350 141757401910 170108882292 212636102865 223827476700 283514803820 354393504775 425272205730 708787009550 850544411460 1063180514325 1417574019100 2126361028650 4252722057300