Search a number
-
+
12285768071235 = 3567227514710463
BaseRepresentation
bin1011001011001000000011…
…0101110111100001000011
31121111111201022010020111210
42302302000311313201003
53102242223111234420
642044000503341203
72405421533361231
oct262620065674103
947444638106453
1012285768071235
113a074018723aa
121465092a51803
136b1709b56469
143068c4913951
151648aae369e0
hexb2c80d77843

12285768071235 has 64 divisors (see below), whose sum is σ = 20044317376512. Its totient is φ = 6424315472256.

The previous prime is 12285768071221. The next prime is 12285768071303. The reversal of 12285768071235 is 53217086758221.

It is a Cunningham number, because it is equal to 35051062-1.

It is not a de Polignac number, because 12285768071235 - 229 = 12285231200323 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1174205614 + ... + 1174216076.

It is an arithmetic number, because the mean of its divisors is an integer number (313192459008).

Almost surely, 212285768071235 is an apocalyptic number.

12285768071235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12285768071235 is a deficient number, since it is larger than the sum of its proper divisors (7758549305277).

12285768071235 is a wasteful number, since it uses less digits than its factorization.

12285768071235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15912.

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 12285768071235 in words is "twelve trillion, two hundred eighty-five billion, seven hundred sixty-eight million, seventy-one thousand, two hundred thirty-five".

Divisors: 1 3 5 15 67 201 227 335 681 1005 1135 3405 5147 10463 15209 15441 25735 31389 45627 52315 76045 77205 156945 228135 344849 701021 1034547 1168369 1724245 2103063 2375101 3505105 3505107 5172735 5841845 7125303 10515315 11875505 17525535 35626515 53853061 78280723 159131767 161559183 234842169 269265305 391403615 477395301 795658835 807795915 1174210845 2386976505 3608155087 10824465261 12224644847 18040775435 36673934541 54122326305 61123224235 183369672705 819051204749 2457153614247 4095256023745 12285768071235