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52521536214 = 23372130715187
BaseRepresentation
bin110000111010100001…
…110000101011010110
312000120022112111001000
4300322201300223112
51330031003124324
640043354444130
73536350456200
oct607241605326
9160508474030
1052521536214
1120302046584
12a219433646
134c5029c8a4
142783589770
151575e269c9
hexc3a870ad6

52521536214 has 96 divisors (see below), whose sum is σ = 135882783360. Its totient is φ = 14993684496.

The previous prime is 52521536209. The next prime is 52521536231. The reversal of 52521536214 is 41263512525.

52521536214 is a `hidden beast` number, since 5 + 2 + 5 + 21 + 5 + 3 + 621 + 4 = 666.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 3450729 + ... + 3465915.

It is an arithmetic number, because the mean of its divisors is an integer number (1415445660).

Almost surely, 252521536214 is an apocalyptic number.

52521536214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52521536214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67941391680).

52521536214 is an abundant number, since it is smaller than the sum of its proper divisors (83361247146).

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

52521536214 is a wasteful number, since it uses less digits than its factorization.

52521536214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16519 (or 16506 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 52521536214 in words is "fifty-two billion, five hundred twenty-one million, five hundred thirty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1307 1323 2614 2646 3921 7842 9149 11763 15187 18298 23526 27447 30374 35289 45561 54894 64043 70578 82341 91122 106309 128086 136683 164682 192129 212618 247023 273366 318927 384258 410049 494046 576387 637854 744163 820098 956781 1152774 1488326 1729161 1913562 2232489 2870343 3458322 4464978 5740686 6697467 13394934 19849409 20092401 39698818 40184802 59548227 119096454 138945863 178644681 277891726 357289362 416837589 535934043 833675178 972621041 1071868086 1250512767 1945242082 2501025534 2917863123 3751538301 5835726246 7503076602 8753589369 17507178738 26260768107 52521536214