Search a number
-
+
27272134126061 = 111931611011374987
BaseRepresentation
bin1100011001101110010011…
…10111011110100111101101
310120120012010220210102222222
412030313021313132213231
512033311312314013221
6134000351230245125
75513226623134466
oct614671167364755
9116505126712888
1027272134126061
1187650578050a0
1230856326567a5
13122a99c551a56
146a3d9a79bd6d
153246266739ab
hex18cdc9dde9ed

27272134126061 has 128 divisors (see below), whose sum is σ = 33431711662080. Its totient is φ = 21970310400000.

The previous prime is 27272134126051. The next prime is 27272134126109. The reversal of 27272134126061 is 16062143127272.

It is a cyclic number.

It is not a de Polignac number, because 27272134126061 - 210 = 27272134125037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27272134126021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5468642810 + ... + 5468647796.

It is an arithmetic number, because the mean of its divisors is an integer number (261185247360).

Almost surely, 227272134126061 is an apocalyptic number.

It is an amenable number.

27272134126061 is a deficient number, since it is larger than the sum of its proper divisors (6159577536019).

27272134126061 is a wasteful number, since it uses less digits than its factorization.

27272134126061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347.

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 27272134126061 in words is "twenty-seven trillion, two hundred seventy-two billion, one hundred thirty-four million, one hundred twenty-six thousand, sixty-one".

Divisors: 1 11 19 31 61 101 137 209 341 589 671 1111 1159 1507 1891 1919 2603 3131 4247 4987 6161 6479 8357 12749 13837 20801 21109 28633 34441 35929 46717 54857 59489 67771 80693 91927 94753 117059 152207 154597 158783 190991 259067 262903 304207 395219 428947 503687 654379 683219 844057 887623 1042283 1287649 1700567 1746613 2100901 2849737 2891933 2937343 3346277 3628829 4718417 4922273 5540557 5779933 7515409 8149993 9284627 9430417 9570053 12981161 15614297 16037083 21179789 26165767 30724907 32310773 39917119 41676359 54145003 63579263 69005119 89649923 103734587 105270583 142792771 171757267 176407913 179177923 232977679 287823437 296671643 337973977 402415991 458439949 497149573 583773233 759056309 791850821 952472117 1291967129 1311097261 1970957153 2139158689 3263388073 4209312259 4426575901 5468645303 6421505563 8710359031 10477193287 14211638419 14422069871 18096970223 23530745579 24547375451 40644015091 46302434849 79976932921 130488680029 199066672453 270021129961 447084166001 879746262131 1435375480319 2479284920551 27272134126061