Search a number
-
+
10563317284 = 22132592672
BaseRepresentation
bin10011101011001111…
…10110111000100100
31000021011202010011111
421311213312320210
5133113202123114
64504104314404
7522524500252
oct116547667044
930234663144
1010563317284
114530798693
122069772a04
13cc4611400
14722cbb5d2
1541c581bc4
hex2759f6e24

10563317284 has 81 divisors (see below), whose sum is σ = 20670647697. Its totient is φ = 4721210208.

The previous prime is 10563317279. The next prime is 10563317333. The reversal of 10563317284 is 48271336501.

The square root of 10563317284 is 102778.

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., 1562620900 + 9000696384 = 39530^2 + 94872^2 .

It is a super-2 number, since 2×105633172842 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 157661419 + ... + 157661485.

Almost surely, 210563317284 is an apocalyptic number.

10563317284 is the 102778-th square number.

It is an amenable number.

10563317284 is a deficient number, since it is larger than the sum of its proper divisors (10107330413).

10563317284 is an equidigital number, since it uses as much as digits as its factorization.

10563317284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10563317284 in words is "ten billion, five hundred sixty-three million, three hundred seventeen thousand, two hundred eighty-four".

Divisors: 1 2 4 13 26 52 59 67 118 134 169 236 268 338 676 767 871 1534 1742 3068 3481 3484 3953 4489 6962 7906 8978 9971 11323 13924 15812 17956 19942 22646 39884 45253 45292 51389 58357 90506 102778 116714 181012 205556 233227 233428 264851 466454 529702 588289 668057 758641 932908 1059404 1176578 1336114 1517282 2353156 2672228 3031951 3034564 3443063 6063902 6886126 12127804 13772252 15626209 31252418 39415363 44759819 62504836 78830726 89519638 157661452 179039276 203140717 406281434 812562868 2640829321 5281658642 10563317284