Search a number
-
+
530128245328 = 241122557107089
BaseRepresentation
bin1111011011011100001…
…10110001001001010000
31212200100112211011010121
413231232012301021100
532141200312322303
61043312040040024
753205033510313
oct7555606611120
91780315734117
10530128245328
1119490a635100
12868aaa63014
133acb5c65a86
141b9306d297a
15dbcab409bd
hex7b6e1b1250

530128245328 has 60 divisors (see below), whose sum is σ = 1129439035060. Its totient is φ = 240870896640.

The previous prime is 530128245299. The next prime is 530128245337. The reversal of 530128245328 is 823542821035.

It can be written as a sum of positive squares in 2 ways, for example, as 128846538304 + 401281707024 = 358952^2 + 633468^2 .

It is a super-5 number, since 5×5301282453285 (a number of 60 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4896808 + ... + 5003896.

Almost surely, 2530128245328 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 530128245328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564719517530).

530128245328 is an abundant number, since it is smaller than the sum of its proper divisors (599310789732).

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

530128245328 is a wasteful number, since it uses less digits than its factorization.

530128245328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109676 (or 109659 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 530128245328 in words is "five hundred thirty billion, one hundred twenty-eight million, two hundred forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2557 5114 10228 20456 28127 40912 56254 107089 112508 214178 225016 309397 428356 450032 618794 856712 1177979 1237588 1713424 2355958 2475176 4711916 4950352 9423832 12957769 18847664 25915538 51831076 103662152 207324304 273826573 547653146 1095306292 2190612584 3012092303 4381225168 6024184606 12048369212 24096738424 33133015333 48193476848 66266030666 132532061332 265064122664 530128245328