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10510555441 = 15726532
BaseRepresentation
bin10011100100111101…
…00101100100110001
31000010111110112112011
421302132211210301
5133011200233231
64454541402521
7521314150531
oct116236454461
930114415464
1010510555441
114503a30961
122053b69441
13cb66c9b99
14719ca54c1
15417b0d9b1
hex2727a5931

10510555441 has 9 divisors (see below), whose sum is σ = 10594151841. Its totient is φ = 10427615952.

The previous prime is 10510555421. The next prime is 10510555453. The reversal of 10510555441 is 14455501501.

The square root of 10510555441 is 102521.

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

10510555441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2374515441 + 8136040000 = 48729^2 + 90200^2 .

It is not a de Polignac number, because 10510555441 - 211 = 10510553393 is a prime.

It is a super-2 number, since 2×105105554412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10510555411) 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, 16095471 + ... + 16096123.

Almost surely, 210510555441 is an apocalyptic number.

10510555441 is the 102521-st square number.

10510555441 is the 51261-st centered octagonal number.

It is an amenable number.

10510555441 is a deficient number, since it is larger than the sum of its proper divisors (83596400).

10510555441 is an frugal number, since it uses more digits than its factorization.

10510555441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

Multiplying 10510555441 by its product of nonzero digits (10000), we get a square (105105554410000 = 102521002).

The spelling of 10510555441 in words is "ten billion, five hundred ten million, five hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 157 653 24649 102521 426409 16095797 66946213 10510555441