Search a number
-
+
4284660208080 = 243576141809721
BaseRepresentation
bin111110010110011001101…
…001100101000111010000
3120011121110100002120002210
4332112121221211013100
51030144441003124310
613040202402112120
7621361605566160
oct76263151450720
916147410076083
104284660208080
111402128a9418a
1259249004b640
1325107088a595
1410b54308a5a0
15766c1ad5820
hex3e599a651d0

4284660208080 has 160 divisors (see below), whose sum is σ = 15428790851328. Its totient is φ = 963295948800.

The previous prime is 4284660208021. The next prime is 4284660208117. The reversal of 4284660208080 is 808020664824.

4284660208080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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, 20802381 + ... + 21007340.

Almost surely, 24284660208080 is an apocalyptic number.

4284660208080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4284660208080 is an abundant number, since it is smaller than the sum of its proper divisors (11144130643248).

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

4284660208080 is a wasteful number, since it uses less digits than its factorization.

4284660208080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41809805 (or 41809799 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 4284660208080 in words is "four trillion, two hundred eighty-four billion, six hundred sixty million, two hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480 41809721 83619442 125429163 167238884 209048605 250858326 292668047 334477768 418097210 501716652 585336094 627145815 668955536 836194420 878004141 1003433304 1170672188 1254291630 1463340235 1672388840 1756008282 2006866608 2341344376 2508583260 2550392981 2926680470 3344777680 3512016564 4390020705 4682688752 5017166520 5100785962 5853360940 7024033128 7651178943 8780041410 10034333040 10201571924 11706721880 12751964905 14048066256 15302357886 17560082820 17852750867 20403143848 23413443760 25503929810 30604715772 35120165640 35705501734 38255894715 40806287696 51007859620 53558252601 61209431544 70240331280 71411003468 76511789430 89263754335 102015719240 107116505202 122418863088 142822006936 153023578860 178527508670 204031438480 214233010404 267791263005 285644013872 306047157720 357055017340 428466020808 535582526010 612094315440 714110034680 856932041616 1071165052020 1428220069360 2142330104040 4284660208080