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533015346241 = 721042972
BaseRepresentation
bin1111100000110100011…
…00001011110001000001
31212221210202102002001001
413300122030023301001
532213103412034431
61044510332412001
753336421455200
oct7603214136101
91787722362031
10533015346241
111960612a3814
1287375917001
133b35613b501
141bb25d0b237
15dce9332e61
hex7c1a30bc41

533015346241 has 9 divisors (see below), whose sum is σ = 620044204899. Its totient is φ = 456865916304.

The previous prime is 533015346223. The next prime is 533015346289. The reversal of 533015346241 is 142643510335.

The square root of 533015346241 is 730079.

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

It can be written as a sum of positive squares in only one way, i.e., 317808425025 + 215206921216 = 563745^2 + 463904^2 .

It is not a de Polignac number, because 533015346241 - 213 = 533015338049 is a prime.

It is a super-2 number, since 2×5330153462412 (a number of 24 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 533015346241.

It is not an unprimeable number, because it can be changed into a prime (533015346841) 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 8 ways as a sum of consecutive naturals, for example, 5058405 + ... + 5162701.

Almost surely, 2533015346241 is an apocalyptic number.

533015346241 is the 730079-th square number.

533015346241 is the 365040-th centered octagonal number.

It is an amenable number.

533015346241 is a deficient number, since it is larger than the sum of its proper divisors (87028858658).

533015346241 is an frugal number, since it uses more digits than its factorization.

533015346241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208608 (or 104304 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 533015346241 its reverse (142643510335), we get a palindrome (675658856576).

The spelling of 533015346241 in words is "five hundred thirty-three billion, fifteen million, three hundred forty-six thousand, two hundred forty-one".

Divisors: 1 7 49 104297 730079 5110553 10877864209 76145049463 533015346241