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3681726012 = 22322347891063
BaseRepresentation
bin1101101101110010…
…1010111000111100
3100111120211001121200
43123130222320330
530020010213022
61405200055500
7160144104036
oct33334527074
910446731550
103681726012
11161a269278
12869004590
134689c6003
1426cd84c56
15168356bac
hexdb72ae3c

3681726012 has 144 divisors (see below), whose sum is σ = 10038712320. Its totient is φ = 1134929664.

The previous prime is 3681725987. The next prime is 3681726029. The reversal of 3681726012 is 2106271863.

3681726012 is a `hidden beast` number, since 36 + 8 + 17 + 2 + 601 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3462993 + ... + 3464055.

It is an arithmetic number, because the mean of its divisors is an integer number (69713280).

Almost surely, 23681726012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681726012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

3681726012 is an abundant number, since it is smaller than the sum of its proper divisors (6356986308).

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

3681726012 is a wasteful number, since it uses less digits than its factorization.

3681726012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3681726012 is about 60677.2281173094. The cubic root of 3681726012 is about 1544.1298622506.

Adding to 3681726012 its reverse (2106271863), we get a palindrome (5787997875).

The spelling of 3681726012 in words is "three billion, six hundred eighty-one million, seven hundred twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 89 92 94 138 141 178 188 207 267 276 282 356 414 423 534 564 801 828 846 1063 1068 1081 1602 1692 2047 2126 2162 3189 3204 3243 4094 4183 4252 4324 6141 6378 6486 8188 8366 9567 9729 12282 12549 12756 12972 16732 18423 19134 19458 24449 24564 25098 36846 37647 38268 38916 48898 49961 50196 73347 73692 75294 94607 96209 97796 99922 146694 149883 150588 189214 192418 199844 220041 283821 288627 293388 299766 378428 384836 440082 449649 567642 577254 599532 851463 865881 880164 899298 1135284 1149103 1154508 1702926 1731762 1798596 2175961 2298206 3405852 3447309 3463524 4351922 4446529 4596412 6527883 6894618 8703844 8893058 10341927 13055766 13339587 13789236 17786116 19583649 20683854 26111532 26679174 39167298 40018761 41367708 53358348 78334596 80037522 102270167 160075044 204540334 306810501 409080668 613621002 920431503 1227242004 1840863006 3681726012