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2006442807606 = 233439752317033
BaseRepresentation
bin11101001100101001010…
…011111001000100110110
321002210222110010101111000
4131030221103321010312
5230333143324320411
64133425212424130
7264650344315506
oct35145123710466
97083873111430
102006442807606
11703a22725576
12284a41778046
1311728c2ac173
146d180407a06
15372d3932956
hex1d3294f9136

2006442807606 has 128 divisors (see below), whose sum is σ = 4618574231040. Its totient is φ = 645251733504.

The previous prime is 2006442807583. The next prime is 2006442807701. The reversal of 2006442807606 is 6067082446002.

It is a congruent number.

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, 117788866 + ... + 117805898.

It is an arithmetic number, because the mean of its divisors is an integer number (36082611180).

Almost surely, 22006442807606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006442807606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309287115520).

2006442807606 is an abundant number, since it is smaller than the sum of its proper divisors (2612131423434).

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

2006442807606 is a wasteful number, since it uses less digits than its factorization.

2006442807606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707 (or 17701 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2006442807606 in words is "two trillion, six billion, four hundred forty-two million, eight hundred seven thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 86 97 129 194 258 291 387 523 582 774 873 1046 1161 1569 1746 2322 2619 3138 4171 4707 5238 8342 9414 12513 14121 17033 22489 25026 28242 34066 37539 44978 50731 51099 67467 75078 101462 102198 112617 134934 152193 153297 202401 225234 304386 306594 404802 456579 459891 607203 732419 913158 919782 1214406 1369737 1464838 1652201 2181433 2197257 2739474 3304402 4362866 4394514 4956603 6544299 6591771 8908259 9913206 13088598 13183542 14869809 17816518 19632897 19775313 26724777 29739618 39265794 39550626 44609427 53449554 58898691 71044643 80174331 89218854 117797382 142089286 160348662 213133929 240522993 383055137 426267858 481045986 639401787 766110274 864101123 1149165411 1278803574 1728202246 1918205361 2298330822 2592303369 3447496233 3836410722 5184606738 6894992466 7776910107 10342488699 15553820214 20684977398 23330730321 37156348289 46661460642 74312696578 111469044867 222938089734 334407134601 668814269202 1003221403803 2006442807606