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4800254823252 = 2233722931278539
BaseRepresentation
bin100010111011010010101…
…1110111100101101010100
3121222220022000022210201000
41011312211132330231110
51112121410213321002
614113112344103300
71003543534526100
oct105664536745524
917886260283630
104800254823252
11159085a783899
126563a3764b30
1328a87b7b5ca5
14128495478900
1584ceb83561c
hex45da57bcb54

4800254823252 has 144 divisors (see below), whose sum is σ = 14976164952000. Its totient is φ = 1324208184768.

The previous prime is 4800254823181. The next prime is 4800254823307. The reversal of 4800254823252 is 2523284520084.

4800254823252 is a `hidden beast` number, since 4 + 80 + 0 + 2 + 548 + 2 + 3 + 25 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4800254823198 and 4800254823207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15485802 + ... + 15792737.

It is an arithmetic number, because the mean of its divisors is an integer number (104001145500).

Almost surely, 24800254823252 is an apocalyptic number.

4800254823252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4800254823252 is an abundant number, since it is smaller than the sum of its proper divisors (10175910128748).

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

4800254823252 is a wasteful number, since it uses less digits than its factorization.

4800254823252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31278595 (or 31278580 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 4800254823252 in words is "four trillion, eight hundred billion, two hundred fifty-four million, eight hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 49 54 58 63 84 87 98 108 116 126 147 174 189 196 203 252 261 294 348 378 406 441 522 588 609 756 783 812 882 1044 1218 1323 1421 1566 1764 1827 2436 2646 2842 3132 3654 4263 5292 5481 5684 7308 8526 10962 12789 17052 21924 25578 38367 51156 76734 153468 31278539 62557078 93835617 125114156 187671234 218949773 281506851 375342468 437899546 563013702 656849319 844520553 875799092 907077631 1126027404 1313698638 1532648411 1689041106 1814155262 1970547957 2627397276 2721232893 3065296822 3378082212 3628310524 3941095914 4597945233 5442465786 5911643871 6130593644 6349543417 7882191828 8163698679 9195890466 10884931572 11823287742 12699086834 13793835699 16327397358 18391780932 19048630251 23646575484 24491096037 25398173668 27587671398 32654794716 38097260502 41381507097 44446803919 48982192074 55175342796 57145890753 76194521004 82763014194 88893607838 97964384148 114291781506 133340411757 165526028388 171437672259 177787215676 228583563012 266680823514 342875344518 400021235271 533361647028 685750689036 800042470542 1200063705813 1600084941084 2400127411626 4800254823252