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51505342200 = 233252132201083
BaseRepresentation
bin101111111101111101…
…010010011011111000
311220221111101110220200
4233331331102123320
51320440331422300
635354454122200
73502231120344
oct577575223370
9156844343820
1051505342200
111a930471a14
129b95050360
134b1a8b2760
1426c8624624
151516ae7200
hexbfdf526f8

51505342200 has 144 divisors (see below), whose sum is σ = 186277738920. Its totient is φ = 12678232320.

The previous prime is 51505342157. The next prime is 51505342201. The reversal of 51505342200 is 224350515.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51505342201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1077142 + ... + 1123941.

Almost surely, 251505342200 is an apocalyptic number.

51505342200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51505342200 is an abundant number, since it is smaller than the sum of its proper divisors (134772396720).

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

51505342200 is a wasteful number, since it uses less digits than its factorization.

51505342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201118 (or 2201106 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 51505342200 its reverse (224350515), we get a palindrome (51729692715).

The spelling of 51505342200 in words is "fifty-one billion, five hundred five million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 2201083 4402166 6603249 8804332 11005415 13206498 17608664 19809747 22010830 26412996 28614079 33016245 39619494 44021660 52825992 55027075 57228158 66032490 79238988 85842237 88043320 99048735 110054150 114456316 132064980 143070395 158477976 165081225 171684474 198097470 220108300 228912632 257526711 264129960 286140790 330162450 343368948 396194940 429211185 440216600 495243675 515053422 572281580 660324900 686737896 715351975 792389880 858422370 990487350 1030106844 1144563160 1287633555 1320649800 1430703950 1716844740 1980974700 2060213688 2146055925 2575267110 2861407900 3433689480 3961949400 4292111850 5150534220 5722815800 6438167775 8584223700 10301068440 12876335550 17168447400 25752671100 51505342200