Search a number
-
+
12292184410275 = 35271119112027199
BaseRepresentation
bin1011001011011111111101…
…0010010000100010100011
31121112010021110121000222110
42302313333102100202203
53102343343202112100
642050541312010403
72406036534352110
oct262677722204243
947463243530873
1012292184410275
113a0a0a4708940
121466383830a03
136b21c0264793
14306d32b3b907
15164b343ae250
hexb2dff4908a3

12292184410275 has 96 divisors (see below), whose sum is σ = 26671435776000. Its totient is φ = 4839574953600.

The previous prime is 12292184410153. The next prime is 12292184410307. The reversal of 12292184410275 is 57201448129221.

It is not a de Polignac number, because 12292184410275 - 29 = 12292184409763 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55903875 + ... + 56123324.

It is an arithmetic number, because the mean of its divisors is an integer number (277827456000).

Almost surely, 212292184410275 is an apocalyptic number.

12292184410275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12292184410275 is an abundant number, since it is smaller than the sum of its proper divisors (14379251365725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12292184410275 is a wasteful number, since it uses less digits than its factorization.

12292184410275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112027249 (or 112027244 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 12292184410275 in words is "twelve trillion, two hundred ninety-two billion, one hundred eighty-four million, four hundred ten thousand, two hundred seventy-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 55 57 75 77 95 105 133 165 175 209 231 275 285 385 399 475 525 627 665 825 1045 1155 1425 1463 1925 1995 3135 3325 4389 5225 5775 7315 9975 15675 21945 36575 109725 112027199 336081597 560135995 784190393 1232299189 1680407985 2128516781 2352571179 2800679975 3696897567 3920951965 6161495945 6385550343 8402039925 8626094323 10642583905 11762855895 14899617467 18484487835 19604759825 23413684591 25878282969 30807479725 31927751715 43130471615 44698852401 53212919525 58814279475 70241053773 74498087335 92422439175 117068422955 129391414845 159638758575 163895792137 215652358075 223494262005 351205268865 372490436675 491687376411 585342114775 646957074225 819478960685 1117471310025 1756026344325 2458436882055 4097394803425 12292184410275