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52217724813860 = 22573109367789237
BaseRepresentation
bin10111101111101111000101…
…11100000100001000100100
320211212222002000122122012202
423313313202330010020210
523321013400023020420
6303020254104434032
713666414620334304
oct1367674274041044
9224788060578182
1052217724813860
111570245a387071
125a3418a478918
13231a1584b6548
14cc74cc211604
1560848220d575
hex2f7de2f04224

52217724813860 has 96 divisors (see below), whose sum is σ = 112210952404320. Its totient is φ = 20406185791488.

The previous prime is 52217724813853. The next prime is 52217724813869. The reversal of 52217724813860 is 6831842771225.

It is a happy number.

52217724813860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1781707057636 + 50436017756224 = 1334806^2 + 7101832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52217724813796 and 52217724813805.

It is not an unprimeable number, because it can be changed into a prime (52217724813869) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 585113162 + ... + 585202398.

It is an arithmetic number, because the mean of its divisors is an integer number (1168864087545).

Almost surely, 252217724813860 is an apocalyptic number.

It is an amenable number.

52217724813860 is an abundant number, since it is smaller than the sum of its proper divisors (59993227590460).

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

52217724813860 is a wasteful number, since it uses less digits than its factorization.

52217724813860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93105 (or 93103 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 52217724813860 in words is "fifty-two trillion, two hundred seventeen billion, seven hundred twenty-four million, eight hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 73 109 146 218 292 365 436 545 730 1090 1460 2180 3677 7354 7957 14708 15914 18385 31828 36770 39785 73540 79570 89237 159140 178474 268421 356948 400793 446185 536842 801586 892370 1073684 1342105 1603172 1784740 2003965 2684210 4007930 5368420 6514301 8015860 9726833 13028602 19453666 26057204 29257889 32571505 38907332 48634165 58515778 65143010 97268330 117031556 130286020 146289445 194536660 292578890 328124449 585157780 656248898 710058809 1312497796 1420117618 1640622245 2840235236 3281244490 3550294045 6562488980 7100588090 14201176180 23953084777 35765564941 47906169554 71531129882 95812339108 119765423885 143062259764 178827824705 239530847770 357655649410 479061695540 715311298820 2610886240693 5221772481386 10443544962772 13054431203465 26108862406930 52217724813860