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10743944409 = 361123492
BaseRepresentation
bin10100000000110001…
…11001010011011001
31000201202121221000000
422000120321103121
5134000422210114
64534040003213
7530150010042
oct120030712331
930652557000
1010743944409
114613749500
1220ba160509
131022b74873
1473cc998c9
1542d360e09
hex2806394d9

10743944409 has 63 divisors (see below), whose sum is σ = 17756968719. Its totient is φ = 6492823920.

The previous prime is 10743944377. The next prime is 10743944467. The reversal of 10743944409 is 90444934701.

The square root of 10743944409 is 103653.

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., 7885972809 + 2857971600 = 88803^2 + 53460^2 .

It is not a de Polignac number, because 10743944409 - 25 = 10743944377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10743944509) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30784767 + ... + 30785115.

Almost surely, 210743944409 is an apocalyptic number.

10743944409 is the 103653-rd square number.

10743944409 is the 51827-th centered octagonal number.

It is an amenable number.

10743944409 is a deficient number, since it is larger than the sum of its proper divisors (7013024310).

10743944409 is an frugal number, since it uses more digits than its factorization.

10743944409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10743944409 in words is "ten billion, seven hundred forty-three million, nine hundred forty-four thousand, four hundred nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 349 363 729 891 1047 1089 2673 3141 3267 3839 8019 9423 9801 11517 28269 29403 34551 42229 84807 88209 103653 121801 126687 254421 310959 365403 380061 932877 1096209 1140183 1339811 2798631 3288627 3420549 4019433 9865881 10261647 12058299 14737921 29597643 30784941 36174897 44213763 88792929 108524691 132641289 325574073 397923867 976722219 1193771601 3581314803 10743944409