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530216985600 = 2103252372412
BaseRepresentation
bin1111011011100110110…
…01010010010000000000
31212200120201210121220100
413231303121102100000
532141341022014400
61043324530042400
753210162005311
oct7556331222000
91780521717810
10530216985600
11194955735a75
1286914719400
133accb466503
141b93c3d2608
15dbd381e100
hex7b73652400

530216985600 has 891 divisors, whose sum is σ = 1999872293601. Its totient is φ = 134214451200.

The previous prime is 530216985593. The next prime is 530216985601. The reversal of 530216985600 is 6589612035.

The square root of 530216985600 is 728160.

It is a perfect power (a square), and thus also a powerful number.

530216985600 is a `hidden beast` number, since 5 + 3 + 0 + 21 + 69 + 8 + 560 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 392617534464 + 137599451136 = 626592^2 + 370944^2 .

It is a super-2 number, since 2×5302169856002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (530216985601) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 12932121580 + ... + 12932121620.

Almost surely, 2530216985600 is an apocalyptic number.

530216985600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

530216985600 is the 728160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530216985600

530216985600 is an abundant number, since it is smaller than the sum of its proper divisors (1469655308001).

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

530216985600 is a wasteful number, since it uses less digits than its factorization.

530216985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 530216985600 in words is "five hundred thirty billion, two hundred sixteen million, nine hundred eighty-five thousand, six hundred".