Search a number
-
+
14668752267 = 3413193167353
BaseRepresentation
bin11011010100101001…
…10110010110001011
31101212021211211020000
431222110312112023
5220020200033032
610423322134043
71026335223411
oct155224662613
941767754200
1014668752267
116248145764
122a14651323
1314ca02a390
149d22392b1
155acbd1e7c
hex36a53658b

14668752267 has 160 divisors (see below), whose sum is σ = 26097899520. Its totient is φ = 8129341440.

The previous prime is 14668752253. The next prime is 14668752269. The reversal of 14668752267 is 76225786641.

It is a happy number.

It is not a de Polignac number, because 14668752267 - 27 = 14668752139 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14668752269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41554363 + ... + 41554715.

It is an arithmetic number, because the mean of its divisors is an integer number (163111872).

Almost surely, 214668752267 is an apocalyptic number.

14668752267 is a deficient number, since it is larger than the sum of its proper divisors (11429147253).

14668752267 is a wasteful number, since it uses less digits than its factorization.

14668752267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 14668752267 in words is "fourteen billion, six hundred sixty-eight million, seven hundred fifty-two thousand, two hundred sixty-seven".

Divisors: 1 3 9 13 19 27 31 39 57 67 81 93 117 171 201 247 279 351 353 403 513 589 603 741 837 871 1053 1059 1209 1273 1539 1767 1809 2077 2223 2511 2613 3177 3627 3819 4589 5301 5427 6231 6669 6707 7657 7839 9531 10881 10943 11457 13767 15903 16549 18693 20007 20121 22971 23517 23651 27001 28593 32643 32829 34371 39463 41301 47709 49647 56079 60363 68913 70551 70953 81003 87191 98487 103113 118389 123903 142259 148941 168237 181089 206739 207917 212859 243009 261573 295461 307463 355167 371709 426777 446823 449369 513019 543267 620217 623751 638577 729027 733181 784719 886383 922389 1065501 1280331 1340469 1348107 1539057 1871253 1915731 2187081 2199543 2354157 2702921 2767167 3196503 3840993 4044321 4617171 5613759 5841797 6598629 7062471 8108763 8301501 9531353 11522979 12132963 13851513 13930439 16841277 17525391 19795887 24326289 24904503 28594059 36398889 41554539 41791317 52576173 59387661 72978867 85782177 125373951 157728519 181095707 218936601 257346531 376121853 473185557 543287121 772039593 1128365559 1629861363 4889584089 14668752267