Search a number
-
+
12071523044735 = 5711314124669241
BaseRepresentation
bin1010111110101001111011…
…0101111100110101111111
31120202000201012022020021022
42233222132311330311333
53040234434344412420
641401325305054355
72354065410606560
oct257523665746577
946660635266238
1012071523044735
113934560066a30
12142b6607873bb
1369745553772b
142da39c9b6167
1515e01c0cdc25
hexafa9ed7cd7f

12071523044735 has 64 divisors (see below), whose sum is σ = 19097545678848. Its totient is φ = 7104741120000.

The previous prime is 12071523044639. The next prime is 12071523044741. The reversal of 12071523044735 is 53744032517021.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12071523044735 is a prime.

It is a super-2 number, since 2×120715230447352 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11845286 + ... + 12823955.

It is an arithmetic number, because the mean of its divisors is an integer number (298399151232).

Almost surely, 212071523044735 is an apocalyptic number.

12071523044735 is a deficient number, since it is larger than the sum of its proper divisors (7026022634113).

12071523044735 is a wasteful number, since it uses less digits than its factorization.

12071523044735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669336.

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 12071523044735 in words is "twelve trillion, seventy-one billion, five hundred twenty-three million, forty-four thousand, seven hundred thirty-five".

Divisors: 1 5 7 11 31 35 41 55 77 155 205 217 287 341 385 451 1085 1271 1435 1705 2255 2387 3157 6355 8897 11935 13981 15785 44485 69905 97867 489335 24669241 123346205 172684687 271361651 764746471 863423435 1011438881 1356808255 1899531557 3823732355 5057194405 5353225297 7080072167 8412211181 9497657785 11125827691 26766126485 31354605311 35400360835 42061055905 55629138455 58885478267 77880793837 156773026555 219482237177 294427391335 344900658421 389403969185 1097411185885 1724503292105 2414304608947 12071523044735