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2070726966 = 2327211219403
BaseRepresentation
bin111101101101100…
…1100100100110110
312100022102211101100
41323123030210312
513220101230331
6541250510530
7102212613600
oct17333144466
95308384340
102070726966
11972964900
12499595446
1327000ba39
1415902a170
15c1bd3ae6
hex7b6cc936

2070726966 has 108 divisors (see below), whose sum is σ = 5736967236. Its totient is φ = 537823440.

The previous prime is 2070726929. The next prime is 2070726971. The reversal of 2070726966 is 6696270702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 97021 + ... + 116423.

It is an arithmetic number, because the mean of its divisors is an integer number (53120067).

Almost surely, 22070726966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070726966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868483618).

2070726966 is an abundant number, since it is smaller than the sum of its proper divisors (3666240270).

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

2070726966 is a wasteful number, since it uses less digits than its factorization.

2070726966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19447 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2070726966 is about 45505.2410827588. The cubic root of 2070726966 is about 1274.6010728883.

The spelling of 2070726966 in words is "two billion, seventy million, seven hundred twenty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 363 441 462 539 693 726 847 882 1078 1089 1386 1617 1694 2178 2541 3234 4851 5082 5929 7623 9702 11858 15246 17787 19403 35574 38806 53361 58209 106722 116418 135821 174627 213433 271642 349254 407463 426866 640299 814926 950747 1222389 1280598 1494031 1901494 1920897 2347763 2444778 2852241 2988062 3841794 4482093 4695526 5704482 7043289 8556723 8964186 10458217 13446279 14086578 16434341 17113446 20916434 21129867 26892558 31374651 32868682 42259734 49303023 62749302 94123953 98606046 115040387 147909069 188247906 230080774 295818138 345121161 690242322 1035363483 2070726966