Search a number
-
+
12071523044742 = 2372173645136791
BaseRepresentation
bin1010111110101001111011…
…0101111100110110000110
31120202000201012022020021120
42233222132311330312012
53040234434344412432
641401325305054410
72354065410606600
oct257523665746606
946660635266246
1012071523044742
113934560066a37
12142b660787406
13697455537735
142da39c9b6170
1515e01c0cdc2c
hexafa9ed7cd86

12071523044742 has 96 divisors (see below), whose sum is σ = 28252254207744. Its totient is φ = 3428445384000.

The previous prime is 12071523044741. The next prime is 12071523044761. The reversal of 12071523044742 is 24744032517021.

It is a super-2 number, since 2×120715230447422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12071523044694 and 12071523044703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12071523044741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328092367 + ... + 328129157.

It is an arithmetic number, because the mean of its divisors is an integer number (294294314664).

Almost surely, 212071523044742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12071523044742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126127103872).

12071523044742 is an abundant number, since it is smaller than the sum of its proper divisors (16180731163002).

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

12071523044742 is a wasteful number, since it uses less digits than its factorization.

12071523044742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43434 (or 43427 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 12071523044742 in words is "twelve trillion, seventy-one billion, five hundred twenty-three million, forty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 173 294 346 519 1038 1211 2422 3633 6451 7266 8477 12902 16954 19353 25431 36791 38706 45157 50862 73582 90314 110373 135471 220746 257537 270942 316099 515074 632198 772611 948297 1116023 1545222 1802759 1896594 2232046 3348069 3605518 5408277 6364843 6696138 7812161 10816554 12729686 15624322 19094529 23436483 38189058 44553901 46872966 54685127 89107802 109370254 133661703 164055381 237338741 267323406 311877307 328110762 474677482 623754614 712016223 935631921 1424032446 1661371187 1871263842 3322742374 4984113561 9968227122 11629598309 23259196618 34888794927 41059602193 69777589854 82119204386 123178806579 246357613158 287417215351 574834430702 862251646053 1724503292106 2011920507457 4023841014914 6035761522371 12071523044742