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6556302841 = 1121724332
BaseRepresentation
bin1100001101100100…
…10011110111111001
3121220220211200201011
412012302103313321
5101411403142331
63002324153521
7321320440354
oct60662236771
917826750634
106556302841
112864953400
12132b8388a1
1380640504a
14462a5d29b
152858c33b1
hex186c93df9

6556302841 has 27 divisors (see below), whose sum is σ = 7673084013. Its totient is φ = 5596715520.

The previous prime is 6556302839. The next prime is 6556302853. The reversal of 6556302841 is 1482036556.

The square root of 6556302841 is 80971.

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

It can be written as a sum of positive squares in 4 ways, for example, as 143496441 + 6412806400 = 11979^2 + 80080^2 .

It is not a de Polignac number, because 6556302841 - 21 = 6556302839 is a prime.

It is a super-3 number, since 3×65563028413 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6556302794 and 6556302803.

It is not an unprimeable number, because it can be changed into a prime (6556302821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15141361 + ... + 15141793.

Almost surely, 26556302841 is an apocalyptic number.

6556302841 is the 80971-st square number.

6556302841 is the 40486-th centered octagonal number.

It is an amenable number.

6556302841 is a deficient number, since it is larger than the sum of its proper divisors (1116781172).

6556302841 is an equidigital number, since it uses as much as digits as its factorization.

6556302841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The cubic root of 6556302841 is about 1871.6285812584.

The spelling of 6556302841 in words is "six billion, five hundred fifty-six million, three hundred two thousand, eight hundred forty-one".

Divisors: 1 11 17 121 187 289 433 2057 3179 4763 7361 34969 52393 80971 125137 187489 890681 1376507 2062379 3187313 15141577 22686169 35060443 54184321 385664873 596027531 6556302841