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136682265006 = 232747109211747
BaseRepresentation
bin111111101001011100…
…1011101100110101110
3111001210121210110221100
41333102321131212232
54214411124440011
6142442503143530
712606054040350
oct1772271354656
9431717713840
10136682265006
1152a6a6367a1
12225a6744ba6
13cb734104b1
146888b570d0
15384e818d56
hex1fd2e5d9ae

136682265006 has 96 divisors (see below), whose sum is σ = 348825185280. Its totient is φ = 37870348608.

The previous prime is 136682264993. The next prime is 136682265073. The reversal of 136682265006 is 600562286631.

136682265006 is a `hidden beast` number, since 1 + 3 + 66 + 82 + 2 + 6 + 500 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539625 + ... + 751371.

It is an arithmetic number, because the mean of its divisors is an integer number (3633595680).

Almost surely, 2136682265006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136682265006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174412592640).

136682265006 is an abundant number, since it is smaller than the sum of its proper divisors (212142920274).

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

136682265006 is a wasteful number, since it uses less digits than its factorization.

136682265006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211918 (or 211915 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 136682265006 in words is "one hundred thirty-six billion, six hundred eighty-two million, two hundred sixty-five thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 109 126 141 218 282 327 329 423 654 658 763 846 981 987 1526 1962 1974 2289 2961 4578 5123 5922 6867 10246 13734 15369 30738 35861 46107 71722 92214 107583 211747 215166 322749 423494 635241 645498 1270482 1482229 1905723 2964458 3811446 4446687 8893374 9952109 13340061 19904218 23080423 26680122 29856327 46160846 59712654 69241269 69664763 89568981 138482538 139329526 161562961 179137962 207723807 208994289 323125922 415447614 417988578 484688883 626982867 969377766 1084779881 1253965734 1454066649 2169559762 2908133298 3254339643 6508679286 7593459167 9763018929 15186918334 19526037858 22780377501 45560755002 68341132503 136682265006