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2066546795112 = 23321371301161033
BaseRepresentation
bin11110000100100111110…
…010011010001001101000
321022120010012101022021100
4132010213302122021220
5232324241434420422
64221205233441400
7302205645634002
oct36044762321150
97276105338240
102066546795112
11727465877a18
12294616410260
1311cb4a447b07
1472042a09372
1538b503767ac
hex1e127c9a268

2066546795112 has 96 divisors (see below), whose sum is σ = 5642119271880. Its totient is φ = 683290982400.

The previous prime is 2066546795107. The next prime is 2066546795123. The reversal of 2066546795112 is 2115976456602.

2066546795112 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 54 + 6 + 79 + 511 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1194837003396 + 871709791716 = 1093086^2 + 933654^2 .

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 23 ways as a sum of consecutive naturals, for example, 12752548 + ... + 12913580.

Almost surely, 22066546795112 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 2066546795112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821059635940).

2066546795112 is an abundant number, since it is smaller than the sum of its proper divisors (3575572476768).

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

2066546795112 is a wasteful number, since it uses less digits than its factorization.

2066546795112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162483 (or 162476 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2066546795112 in words is "two trillion, sixty-six billion, five hundred forty-six million, seven hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1301 1644 2466 2602 3288 3903 4932 5204 7806 9864 10408 11709 15612 23418 31224 46836 93672 161033 178237 322066 356474 483099 534711 644132 712948 966198 1069422 1288264 1425896 1449297 1604133 1932396 2138844 2898594 3208266 3864792 4277688 5797188 6416532 11594376 12833064 22061521 44123042 66184563 88246084 132369126 176492168 198553689 209503933 264738252 397107378 419007866 529476504 628511799 794214756 838015732 1257023598 1588429512 1676031464 1885535397 2514047196 3771070794 5028094392 7542141588 15084283176 28702038821 57404077642 86106116463 114808155284 172212232926 229616310568 258318349389 344424465852 516636698778 688848931704 1033273397556 2066546795112