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52505253320 = 23513877115133
BaseRepresentation
bin110000111001100011…
…101001010111001000
312000112011220020002212
4300321203221113020
51330012321101240
640042013444252
73536062201202
oct607143512710
9160464806085
1052505253320
11202a3934a43
12a213aa0688
134c49abb340
14278134b772
1515747ac165
hexc398e95c8

52505253320 has 64 divisors (see below), whose sum is σ = 127370441520. Its totient is φ = 19364281344.

The previous prime is 52505253247. The next prime is 52505253331. The reversal of 52505253320 is 2335250525.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25953854404 + 26551398916 = 161102^2 + 162946^2 .

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 15 ways as a sum of consecutive naturals, for example, 398474 + ... + 513606.

Almost surely, 252505253320 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 52505253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685220760).

52505253320 is an abundant number, since it is smaller than the sum of its proper divisors (74865188200).

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

52505253320 is a wasteful number, since it uses less digits than its factorization.

52505253320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116034 (or 116030 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 32.

The spelling of 52505253320 in words is "fifty-two billion, five hundred five million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 877 1754 3508 4385 7016 8770 11401 17540 22802 35080 45604 57005 91208 114010 115133 228020 230266 456040 460532 575665 921064 1151330 1496729 2302660 2993458 4605320 5986916 7483645 11973832 14967290 29934580 59869160 100971641 201943282 403886564 504858205 807773128 1009716410 1312631333 2019432820 2625262666 4038865640 5250525332 6563156665 10501050664 13126313330 26252626660 52505253320