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43975348209 = 321321922832
BaseRepresentation
bin101000111101001000…
…101000111111110001
311012111201101011001100
4220331020220333301
51210030142120314
632111344155013
73114515202162
oct507510507761
9135451334040
1043975348209
1117716a34a91
128633308a69
1341ba852400
1421b2545769
1512259dcc09
hexa3d228ff1

43975348209 has 81 divisors (see below), whose sum is σ = 72850006827. Its totient is φ = 25546858272.

The previous prime is 43975348201. The next prime is 43975348217. The reversal of 43975348209 is 90284357934.

The square root of 43975348209 is 209703.

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

43975348209 is a `hidden beast` number, since 4 + 3 + 97 + 5 + 348 + 209 = 666.

It is an interprime number because it is at equal distance from previous prime (43975348201) and next prime (43975348217).

It can be written as a sum of positive squares in only one way, i.e., 6505229025 + 37470119184 = 80655^2 + 193572^2 .

It is not a de Polignac number, because 43975348209 - 23 = 43975348201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (43975348201) 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 80 ways as a sum of consecutive naturals, for example, 155389782 + ... + 155390064.

Almost surely, 243975348209 is an apocalyptic number.

43975348209 is the 209703-rd square number.

43975348209 is the 104852-nd centered octagonal number.

It is an amenable number.

43975348209 is a deficient number, since it is larger than the sum of its proper divisors (28874658618).

43975348209 is a wasteful number, since it uses less digits than its factorization.

43975348209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 43975348209 in words is "forty-three billion, nine hundred seventy-five million, three hundred forty-eight thousand, two hundred nine".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 283 361 507 741 849 1083 1521 2223 2547 3211 3249 3679 4693 5377 9633 11037 14079 16131 28899 33111 42237 47827 48393 61009 69901 80089 102163 143481 183027 209703 240267 306489 430443 549081 629109 720801 908713 919467 1041157 1328119 1521691 2726139 3123471 3984357 4565073 8178417 9370413 11953071 13535041 13695219 17265547 19781983 28912129 40605123 51796641 59345949 86736387 121815369 155389923 178037847 257165779 260209161 375857677 771497337 1127573031 2314492011 3382719093 4886149801 14658449403 43975348209