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530207424552960 = 213335711219313
BaseRepresentation
bin111100010001110001000100…
…1001100101010000000000000
32120112022100001001011110101000
41320203202021030222000000
51023443404301141143320
65115353532301012000
7216452136152223120
oct17043421114520000
92515270031143330
10530207424552960
11143a38784754600
124b571901854000
13199b04653851bb
1494d026799ac80
154146da2878c90
hex1e2388932a000

530207424552960 has 5376 divisors, whose sum is σ = 2575735993958400. Its totient is φ = 101007477964800.

The previous prime is 530207424552919. The next prime is 530207424552977. The reversal of 530207424552960 is 69255424702035.

530207424552960 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 0 + 7 + 4 + 24 + 552 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×5302074245529602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 530207424552897 and 530207424552906.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17103465308145 + ... + 17103465308175.

It is an arithmetic number, because the mean of its divisors is an integer number (479117558400).

Almost surely, 2530207424552960 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 530207424552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287867996979200).

530207424552960 is an abundant number, since it is smaller than the sum of its proper divisors (2045528569405440).

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

530207424552960 is an equidigital number, since it uses as much as digits as its factorization.

530207424552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 530207424552960 in words is "five hundred thirty trillion, two hundred seven billion, four hundred twenty-four million, five hundred fifty-two thousand, nine hundred sixty".