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66046141214000 = 24531372081115831
BaseRepresentation
bin11110000010001100100001…
…10010010010110100110000
322122211221122010202121020022
433001012100302102310300
532124044444122322000
6352245102311503012
716624450643333453
oct1701062062226460
9278757563677208
1066046141214000
111a054013994572
1274a8227087a68
132ab11803a037c
14124491658149a
15798029751585
hex3c1190c92d30

66046141214000 has 160 divisors (see below), whose sum is σ = 160943951106432. Its totient is φ = 26212792320000.

The previous prime is 66046141213973. The next prime is 66046141214003. The reversal of 66046141214000 is 41214164066.

It is not an unprimeable number, because it can be changed into a prime (66046141214003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570136085 + ... + 570251915.

Almost surely, 266046141214000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66046141214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80471975553216).

66046141214000 is an abundant number, since it is smaller than the sum of its proper divisors (94897809892432).

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

66046141214000 is a wasteful number, since it uses less digits than its factorization.

66046141214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118072 (or 118056 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 66046141214000 its reverse (41214164066), we get a palindrome (66087355378066).

The spelling of 66046141214000 in words is "sixty-six trillion, forty-six billion, one hundred forty-one million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 685 1000 1096 1370 2000 2081 2192 2740 3425 4162 5480 6850 8324 10405 10960 13700 16648 17125 20810 27400 33296 34250 41620 52025 54800 68500 83240 104050 115831 137000 166480 208100 231662 260125 274000 285097 416200 463324 520250 570194 579155 832400 926648 1040500 1140388 1158310 1425485 1853296 2081000 2280776 2316620 2850970 2895775 4162000 4561552 4633240 5701940 5791550 7127425 9266480 11403880 11583100 14254850 14478875 15868847 22807760 23166200 28509700 28957750 31737694 35637125 46332400 57019400 57915500 63475388 71274250 79344235 114038800 115831000 126950776 142548500 158688470 231662000 241044311 253901552 285097000 317376940 396721175 482088622 570194000 634753880 793442350 964177244 1205221555 1269507760 1586884700 1928354488 1983605875 2410443110 3173769400 3856708976 3967211750 4820886220 6026107775 6347538800 7934423500 9641772440 12052215550 15868847000 19283544880 24104431100 30130538875 31737694000 33023070607 48208862200 60261077750 66046141214 96417724400 120522155500 132092282428 165115353035 241044311000 264184564856 330230706070 482088622000 528369129712 660461412140 825576765175 1320922824280 1651153530350 2641845648560 3302307060700 4127883825875 6604614121400 8255767651750 13209228242800 16511535303500 33023070607000 66046141214000