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20401640166105 = 32511371113930667
BaseRepresentation
bin1001010001110001000001…
…00000111101001011011001
32200020101012101021221120100
410220320200200331023121
510133230024340303410
6111220214544450013
74203653443062162
oct450704040751331
980211171257510
1020401640166105
116556318005510
122355b84019909
13b4cb3567c163
145076321ac769
15255a607648c0
hex128e2083d2d9

20401640166105 has 48 divisors (see below), whose sum is σ = 39620285999424. Its totient is φ = 9624360954240.

The previous prime is 20401640166091. The next prime is 20401640166139. The reversal of 20401640166105 is 50166104610402.

20401640166105 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 1 + 640 + 1 + 6 + 6 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 20401640166105 - 25 = 20401640166073 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20401640166105.

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 47 ways as a sum of consecutive naturals, for example, 556947019 + ... + 556983648.

It is an arithmetic number, because the mean of its divisors is an integer number (825422624988).

Almost surely, 220401640166105 is an apocalyptic number.

It is an amenable number.

20401640166105 is a deficient number, since it is larger than the sum of its proper divisors (19218645833319).

20401640166105 is a wasteful number, since it uses less digits than its factorization.

20401640166105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113930726 (or 1113930723 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 20401640166105 its reverse (50166104610402), we get a palindrome (70567744776507).

The spelling of 20401640166105 in words is "twenty trillion, four hundred one billion, six hundred forty million, one hundred sixty-six thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 333 407 495 555 1221 1665 2035 3663 6105 18315 1113930667 3341792001 5569653335 10025376003 12253237337 16708960005 36759712011 41215434679 50126880015 61266186685 110279136033 123646304037 183798560055 206077173395 370938912111 453369781469 551395680165 618231520185 1360109344407 1854694560555 2266848907345 4080328033221 6800546722035 20401640166105