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52525003328 = 2671733372011
BaseRepresentation
bin110000111010101110…
…111111001001000000
312000120120001122000122
4300322232333021000
51330032400101303
640044001035412
73536422106330
oct607256771100
9160516048018
1052525003328
1120303aa4466
12a21a625b68
134c50c14a35
142783c0d0c0
1515763ade38
hexc3abbf240

52525003328 has 112 divisors (see below), whose sum is σ = 120223019904. Its totient is φ = 22303088640.

The previous prime is 52525003313. The next prime is 52525003393. The reversal of 52525003328 is 82330052525.

52525003328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×525250033282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26117843 + ... + 26119853.

Almost surely, 252525003328 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 52525003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60111509952).

52525003328 is an abundant number, since it is smaller than the sum of its proper divisors (67698016576).

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

52525003328 is a wasteful number, since it uses less digits than its factorization.

52525003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 52525003328 in words is "fifty-two billion, five hundred twenty-five million, three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 337 346 448 674 692 1211 1348 1384 2011 2359 2422 2696 2768 4022 4718 4844 5392 5536 8044 9436 9688 10784 11072 14077 16088 18872 19376 21568 28154 32176 37744 38752 56308 58301 64352 75488 77504 112616 116602 128704 150976 225232 233204 347903 408107 450464 466408 677707 695806 816214 900928 932816 1355414 1391612 1632428 1865632 2435321 2710828 2783224 3264856 3731264 4743949 4870642 5421656 5566448 6529712 9487898 9741284 10843312 11132896 13059424 18975796 19482568 21686624 22265792 26118848 37951592 38965136 43373248 75903184 77930272 117243311 151806368 155860544 234486622 303612736 468973244 820703177 937946488 1641406354 1875892976 3282812708 3751785952 6565625416 7503571904 13131250832 26262501664 52525003328