Search a number
-
+
27136261097985 = 35131971831242869
BaseRepresentation
bin1100010101110001001110…
…01101000000101000000001
310120002012102200201110102210
412022320213031000220001
512024100030320113420
6133414120511532333
75500346563351344
oct612704715005001
9116065380643383
1027136261097985
118712472a49056
123063232b2a0a9
13121ac279a98a0
1469b58b2d645b
15320d22e089e0
hex18ae27340a01

27136261097985 has 128 divisors (see below), whose sum is σ = 50513418547200. Its totient is φ = 12327659688960.

The previous prime is 27136261097983. The next prime is 27136261097987. The reversal of 27136261097985 is 58979016263172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27136261097983) and next prime (27136261097987).

It is not a de Polignac number, because 27136261097985 - 21 = 27136261097983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27136261097983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21212131 + ... + 22454999.

It is an arithmetic number, because the mean of its divisors is an integer number (394636082400).

Almost surely, 227136261097985 is an apocalyptic number.

It is an amenable number.

27136261097985 is a deficient number, since it is larger than the sum of its proper divisors (23377157449215).

27136261097985 is a wasteful number, since it uses less digits than its factorization.

27136261097985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243063.

The product of its (nonzero) digits is 68584320, while the sum is 66.

The spelling of 27136261097985 in words is "twenty-seven trillion, one hundred thirty-six billion, two hundred sixty-one million, ninety-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 13 15 19 39 57 65 71 83 95 195 213 247 249 285 355 415 741 923 1065 1079 1235 1245 1349 1577 2769 3237 3705 4047 4615 4731 5395 5893 6745 7885 13845 16185 17537 17679 20235 20501 23655 29465 52611 61503 76609 87685 88395 102505 111967 229827 263055 307515 335901 383045 559835 1149135 1242869 1455571 1679505 3728607 4366713 6214345 7277855 16157297 18643035 21833565 23614511 48471891 70843533 80786485 88243699 103158127 118072555 242359455 264731097 306988643 309474381 354217665 441218495 515790635 920965929 1147168087 1323655485 1341055651 1534943215 1547371905 1676630281 1960004413 3441504261 4023166953 4604829645 5029890843 5735840435 5880013239 6705278255 7324227017 8383151405 9800022065 17207521305 20115834765 21796193653 21972681051 25149454215 25480057369 29400066195 36621135085 65388580959 76440172107 95214951221 108980968265 109863405255 127400286845 139160313323 285644853663 326942904795 382200860535 417480939969 476074756105 695801566615 1428224268315 1809084073199 2087404699845 5427252219597 9045420365995 27136261097985