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20410768014221 = 1353137216231797
BaseRepresentation
bin1001010010000010000001…
…00100111011101110001101
32200021020202111221200020002
410221001000210323232031
510133402223102423341
6111224324414134045
74204425600362234
oct451010044735615
980236674850202
1020410768014221
11655a181488942
1223578b0ab1325
13b5095b773610
14507c5a583b1b
15255de6c9729b
hex12904093bb8d

20410768014221 has 16 divisors (see below), whose sum is σ = 22559031021744. Its totient is φ = 18350295135744.

The previous prime is 20410768014193. The next prime is 20410768014239. The reversal of 20410768014221 is 12241086701402.

It can be written as a sum of positive squares in 8 ways, for example, as 969458821321 + 19441309192900 = 984611^2 + 4409230^2 .

It is not a de Polignac number, because 20410768014221 - 230 = 20409694272397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20410768014281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108021506 + ... + 108210291.

It is an arithmetic number, because the mean of its divisors is an integer number (1409939438859).

Almost surely, 220410768014221 is an apocalyptic number.

It is an amenable number.

20410768014221 is a deficient number, since it is larger than the sum of its proper divisors (2148263007523).

20410768014221 is a wasteful number, since it uses less digits than its factorization.

20410768014221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216232000.

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 20410768014221 in words is "twenty trillion, four hundred ten billion, seven hundred sixty-eight million, fourteen thousand, two hundred twenty-one".

Divisors: 1 13 53 137 689 1781 7261 94393 216231797 2811013361 11460285241 29623756189 148983708133 385108830457 1570059078017 20410768014221