Search a number
-
+
249968535245 = 5111317711072707
BaseRepresentation
bin1110100011001101001…
…0010010011011001101
3212220012201220021120222
43220303102102123031
513043413421111440
6310500045121125
724026311330532
oct3506322223315
9786181807528
10249968535245
11970137a3320
1240541b591a5
131a7586c32b0
14c154580d89
1567801a12b5
hex3a334926cd

249968535245 has 128 divisors (see below), whose sum is σ = 382065610752. Its totient is φ = 154203033600.

The previous prime is 249968535197. The next prime is 249968535269. The reversal of 249968535245 is 542535869942.

It is a happy number.

249968535245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 249968535245 - 214 = 249968518861 is a prime.

It is a super-2 number, since 2×2499685352452 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent 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 127 ways as a sum of consecutive naturals, for example, 92340182 + ... + 92342888.

It is an arithmetic number, because the mean of its divisors is an integer number (2984887584).

Almost surely, 2249968535245 is an apocalyptic number.

It is an amenable number.

249968535245 is a deficient number, since it is larger than the sum of its proper divisors (132097075507).

249968535245 is a wasteful number, since it uses less digits than its factorization.

249968535245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931.

The product of its digits is 93312000, while the sum is 62.

The spelling of 249968535245 in words is "two hundred forty-nine billion, nine hundred sixty-eight million, five hundred thirty-five thousand, two hundred forty-five".

Divisors: 1 5 11 13 17 55 65 71 85 107 143 187 221 355 535 715 781 923 935 1105 1177 1207 1391 1819 2431 2707 3905 4615 5885 6035 6955 7597 9095 10153 12155 13277 13535 15301 15691 20009 23647 29777 35191 37985 46019 50765 66385 76505 78455 83567 98761 100045 118235 129149 148885 172601 175955 192197 230095 260117 289649 387101 417835 493805 506209 598247 645745 863005 960985 1086371 1300585 1420639 1448245 1678937 1935505 2114167 2498561 2531045 2991235 3186139 3267349 3765437 4924033 5431855 6580717 7103195 8394685 10570835 12492805 15930695 16336745 18468307 18827185 20565079 24620165 27484171 32903585 35940839 41419807 42475537 54164363 64012429 92341535 102825395 137420855 179704195 207099035 212377685 226215869 267346027 270821815 320062145 349606343 467230907 704136719 1131079345 1336730135 1748031715 2336154535 2940806297 3520683595 3845669773 4544882459 14704031485 19228348865 22724412295 49993707049 249968535245