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52521541520 = 2457894492347
BaseRepresentation
bin110000111010100001…
…110001111110010000
312000120022112202022112
4300322201301332100
51330031003312040
640043354524452
73536350510520
oct607241617620
9160508482275
1052521541520
112030204a568
12a219436728
134c502a2126
14278358b680
151575e28365
hexc3a871f90

52521541520 has 160 divisors (see below), whose sum is σ = 141499872000. Its totient is φ = 17757831168.

The previous prime is 52521541517. The next prime is 52521541571. The reversal of 52521541520 is 2514512525.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22376987 + ... + 22379333.

It is an arithmetic number, because the mean of its divisors is an integer number (884374200).

Almost surely, 252521541520 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 52521541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70749936000).

52521541520 is an abundant number, since it is smaller than the sum of its proper divisors (88978330480).

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

52521541520 is a wasteful number, since it uses less digits than its factorization.

52521541520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 52521541520 in words is "fifty-two billion, five hundred twenty-one million, five hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 280 356 445 449 560 623 712 890 898 1246 1424 1780 1796 2245 2347 2492 3115 3143 3560 3592 4490 4694 4984 6230 6286 7120 7184 8980 9388 9968 11735 12460 12572 15715 16429 17960 18776 23470 24920 25144 31430 32858 35920 37552 39961 46940 49840 50288 62860 65716 79922 82145 93880 125720 131432 159844 164290 187760 199805 208883 251440 262864 279727 319688 328580 399610 417766 559454 639376 657160 799220 835532 1044415 1053803 1118908 1314320 1398635 1462181 1598440 1671064 2088830 2107606 2237816 2797270 2924362 3196880 3342128 4177660 4215212 4475632 5269015 5594540 5848724 7310905 7376621 8355320 8430424 10538030 11189080 11697448 14621810 14753242 16710640 16860848 21076060 22378160 23394896 29243620 29506484 36883105 42152120 58487240 59012968 73766210 84304240 93788467 116974480 118025936 147532420 187576934 295064840 375153868 468942335 590129680 656519269 750307736 937884670 1313038538 1500615472 1875769340 2626077076 3282596345 3751538680 5252154152 6565192690 7503077360 10504308304 13130385380 26260770760 52521541520