Search a number
-
+
206165486267300 = 225271964723958523
BaseRepresentation
bin101110111000000110100100…
…100100101110101110100100
31000000222020011012210000100202
4232320012210210232232210
5204010303403441023200
62010251041125330032
761265651641016420
oct5670064444565644
91000866135700322
10206165486267300
115a76632330276a
121b158304266918
138b064253a16b1
1438ca669c07b80
1518c7c864701d5
hexbb81a492eba4

206165486267300 has 144 divisors (see below), whose sum is σ = 539032289725440. Its totient is φ = 66861526515840.

The previous prime is 206165486267297. The next prime is 206165486267381. The reversal of 206165486267300 is 3762684561602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3374162 + ... + 20584361.

It is an arithmetic number, because the mean of its divisors is an integer number (3743279789760).

Almost surely, 2206165486267300 is an apocalyptic number.

206165486267300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206165486267300 is an abundant number, since it is smaller than the sum of its proper divisors (332866803458140).

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

206165486267300 is a wasteful number, since it uses less digits than its factorization.

206165486267300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23959210 (or 23959203 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 206165486267300 in words is "two hundred six trillion, one hundred sixty-five billion, four hundred eighty-six million, two hundred sixty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 647 665 700 950 1294 1330 1900 2588 2660 3235 3325 4529 6470 6650 9058 12293 12940 13300 16175 18116 22645 24586 32350 45290 49172 61465 64700 86051 90580 113225 122930 172102 226450 245860 307325 344204 430255 452900 614650 860510 1229300 1721020 2151275 4302550 8605100 23958523 47917046 95834092 119792615 167709661 239585230 335419322 455211937 479170460 598963075 670838644 838548305 910423874 1197926150 1677096610 1820847748 2276059685 2395852300 3186483559 3354193220 4192741525 4552119370 6372967118 8385483050 9104238740 11380298425 12745934236 15501164381 15932417795 16770966100 22760596850 31002328762 31864835590 45521193700 62004657524 63729671180 77505821905 79662088975 108508150667 155011643810 159324177950 217016301334 294522123239 310023287620 318648355900 387529109525 434032602668 542540753335 589044246478 775058219050 1085081506670 1178088492956 1472610616195 1550116438100 2061654862673 2170163013340 2712703766675 2945221232390 4123309725346 5425407533350 5890442464780 7363053080975 8246619450692 10308274313365 10850815066700 14726106161950 20616548626730 29452212323900 41233097253460 51541371566825 103082743133650 206165486267300