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16005605066000 = 2453114357166979
BaseRepresentation
bin1110100011101001100001…
…1001111000010100010000
32002200010021010200122210122
43220322120121320110100
54044213434344103000
654012512400045412
73241236546211664
oct350723031702420
962603233618718
1016005605066000
115110a36881520
121965bb0903868
138c14257c7604
143d49654c48a4
151cb521001085
hexe8e98678510

16005605066000 has 160 divisors (see below), whose sum is σ = 42229819082880. Its totient is φ = 5818849344000.

The previous prime is 16005605065979. The next prime is 16005605066039. The reversal of 16005605066000 is 66050650061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95770511 + ... + 95937489.

It is an arithmetic number, because the mean of its divisors is an integer number (263936369268).

Almost surely, 216005605066000 is an apocalyptic number.

16005605066000 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 16005605066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114909541440).

16005605066000 is an abundant number, since it is smaller than the sum of its proper divisors (26224214016880).

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

16005605066000 is a wasteful number, since it uses less digits than its factorization.

16005605066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171370 (or 171354 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 16005605066000 in words is "sixteen trillion, five billion, six hundred five million, sixty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4357 4400 5500 8714 11000 17428 21785 22000 34856 43570 47927 69712 87140 95854 108925 166979 174280 191708 217850 239635 333958 348560 383416 435700 479270 544625 667916 766832 834895 871400 958540 1089250 1198175 1335832 1669790 1742800 1836769 1917080 2178500 2396350 2671664 3339580 3673538 3834160 4174475 4357000 4792700 5990875 6679160 7347076 8348950 8714000 9183845 9585400 11981750 13358320 14694152 16697900 18367690 19170800 20872375 23963500 29388304 33395800 36735380 41744750 45919225 47927000 66791600 73470760 83489500 91838450 95854000 146941520 166979000 183676900 229596125 333958000 367353800 459192250 727527503 734707600 918384500 1455055006 1836769000 2910110012 3637637515 3673538000 5820220024 7275275030 8002802533 11640440048 14550550060 16005605066 18188187575 29101100120 32011210132 36376375150 40014012665 58202200240 64022420264 72752750300 80028025330 90940937875 128044840528 145505500600 160056050660 181881875750 200070063325 291011001200 320112101320 363763751500 400140126650 640224202640 727527503000 800280253300 1000350316625 1455055006000 1600560506600 2000700633250 3201121013200 4001401266500 8002802533000 16005605066000