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23968240773169 = 741123122932
BaseRepresentation
bin1010111001100100010100…
…11110100010100000110001
310010212100012220120022200111
411130302022132202200301
511120143424114220134
6122550505141421321
75022435231040000
oct534621236424061
9103770186508614
1023968240773169
11770096807a500
12283125740a841
13104b270401a54
145cc0d7650c37
152b8707a64c64
hex15cc8a7a2831

23968240773169 has 135 divisors (see below), whose sum is σ = 31866472447467. Its totient is φ = 18012395570400.

The previous prime is 23968240773161. The next prime is 23968240773181. The reversal of 23968240773169 is 96137704286932.

The square root of 23968240773169 is 4895737.

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., 22677263064225 + 1290977708944 = 4762065^2 + 1136212^2 .

It is not a de Polignac number, because 23968240773169 - 23 = 23968240773161 is a prime.

It is a super-2 number, since 2×239682407731692 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23968240773161) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 81802869387 + ... + 81802869679.

Almost surely, 223968240773169 is an apocalyptic number.

23968240773169 is the 4895737-th square number.

23968240773169 is the 2447869-th centered octagonal number.

It is an amenable number.

23968240773169 is a deficient number, since it is larger than the sum of its proper divisors (7898231674298).

23968240773169 is an frugal number, since it uses more digits than its factorization.

23968240773169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 67.

The spelling of 23968240773169 in words is "twenty-three trillion, nine hundred sixty-eight billion, two hundred forty million, seven hundred seventy-three thousand, one hundred sixty-nine".

Divisors: 1 7 11 31 49 77 121 217 293 341 343 539 847 961 1519 2051 2387 2401 3223 3751 3773 5929 6727 9083 10571 10633 14357 16709 22561 26257 26411 35453 41503 47089 63581 73997 74431 85849 99913 100499 116281 116963 157927 183799 248171 281573 290521 329623 445067 517979 600943 699391 703493 813967 818741 944339 1099043 1105489 1286593 1737197 1971011 2307361 2661319 3097303 3115469 3625853 4206601 4895737 5697769 6610373 7693301 7738423 9006151 10387729 12160379 13797077 18629233 21681121 21808283 25380971 29274509 29446207 34070333 34270159 39884383 46272611 53853107 72714103 82500889 85122653 96579539 130404631 151767847 204921563 206123449 238492331 239891113 279190681 322019599 323908277 376971749 508998721 577506223 676056773 907509779 912832417 1062374929 1434450941 1669446317 2254137193 2267357939 2638802243 3562991047 4042543561 6352568453 6389826919 7436624503 9982607569 10041156587 11686124219 15778960351 24940937329 28297804927 44467979171 69878252983 70288096109 81802869533 110452722457 198084634489 311275854197 489147770881 773169057199 2178930979379 3424034396167 23968240773169