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52730855424 = 21632132232
BaseRepresentation
bin110001000111000000…
…010000000000000000
312001002220102000000100
4301013000100000000
51330443044333144
640120233122400
73544501606242
oct610700200000
9161086360010
1052730855424
11203aa214165
12a277559400
134c8476a900
1427a32b6092
1515894c2269
hexc47010000

52730855424 has 459 divisors, whose sum is σ = 172435303677. Its totient is φ = 15519449088.

The previous prime is 52730855417. The next prime is 52730855461. The reversal of 52730855424 is 42455803725.

The square root of 52730855424 is 229632.

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

52730855424 is a `hidden beast` number, since 5 + 2 + 73 + 0 + 8 + 554 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7800422400 + 44930433024 = 88320^2 + 211968^2 .

It is a super-2 number, since 2×527308554242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52730855424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2292645877 + ... + 2292645899.

Almost surely, 252730855424 is an apocalyptic number.

52730855424 is the 229632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52730855424

52730855424 is an abundant number, since it is smaller than the sum of its proper divisors (119704448253).

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

52730855424 is an equidigital number, since it uses as much as digits as its factorization.

52730855424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 52730855424 in words is "fifty-two billion, seven hundred thirty million, eight hundred fifty-five thousand, four hundred twenty-four".