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16420794000 = 2435313210523
BaseRepresentation
bin11110100101100000…
…10110111010010000
31120101101121202122120
433102300112322100
5232112210402000
611313230334240
71120631305662
oct172260267220
946341552576
1016420794000
116a67123636
12322335a380
131718cc8470
14b1abca532
156619156a0
hex3d2c16e90

16420794000 has 160 divisors (see below), whose sum is σ = 57013267584. Its totient is φ = 4042022400.

The previous prime is 16420793999. The next prime is 16420794017. The reversal of 16420794000 is 49702461.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27262 + ... + 183261.

Almost surely, 216420794000 is an apocalyptic number.

16420794000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16420794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28506633792).

16420794000 is an abundant number, since it is smaller than the sum of its proper divisors (40592473584).

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

16420794000 is a wasteful number, since it uses less digits than its factorization.

16420794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210562 (or 210546 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 16420794000 in words is "sixteen billion, four hundred twenty million, seven hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 6000 6500 7800 9750 13000 15600 19500 26000 39000 78000 210523 421046 631569 842092 1052615 1263138 1684184 2105230 2526276 2736799 3157845 3368368 4210460 5052552 5263075 5473598 6315690 8210397 8420920 10105104 10526150 10947196 12631380 13683995 15789225 16420794 16841840 21052300 21894392 25262760 26315375 27367990 31578450 32841588 41051985 42104600 43788784 50525520 52630750 54735980 63156900 65683176 68419975 78946125 82103970 84209200 105261500 109471960 126313800 131366352 136839950 157892250 164207940 205259925 210523000 218943920 252627600 273679900 315784500 328415880 342099875 410519850 421046000 547359800 631569000 656831760 684199750 821039700 1026299625 1094719600 1263138000 1368399500 1642079400 2052599250 2736799000 3284158800 4105198500 5473598000 8210397000 16420794000