Search a number
-
+
530021333102544 = 2432191912339714483
BaseRepresentation
bin111100010000011010011010…
…1010010000110111111010000
32120111122112201000021022001200
41320200310311102012333100
51023432332142233240134
65115132234455231200
7216432530506051263
oct17040646522067720
92514575630238050
10530021333102544
1114397686a9aa588
124b541828078500
1319998a49735a2a
1494c5252b88cda
1541421104c1499
hex1e20d35486fd0

530021333102544 has 480 divisors, whose sum is σ = 1578279795056640. Its totient is φ = 165576582604800.

The previous prime is 530021333102519. The next prime is 530021333102609. The reversal of 530021333102544 is 445201333120035.

530021333102544 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 2 + 1 + 3 + 3 + 3 + 102 + 544 = 666.

It is a super-2 number, since 2×5300213331025442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 530021333102499 and 530021333102508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118229159727 + ... + 118229164209.

It is an arithmetic number, because the mean of its divisors is an integer number (3288082906368).

Almost surely, 2530021333102544 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 530021333102544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789139897528320).

530021333102544 is an abundant number, since it is smaller than the sum of its proper divisors (1048258461954096).

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

530021333102544 is a wasteful number, since it uses less digits than its factorization.

530021333102544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 530021333102544 its reverse (445201333120035), we get a palindrome (975222666222579).

The spelling of 530021333102544 in words is "five hundred thirty trillion, twenty-one billion, three hundred thirty-three million, one hundred two thousand, five hundred forty-four".