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66442690406781 = 32132789203616437
BaseRepresentation
bin11110001101101111001001…
…11101011010100101111101
322201020212012100000210122100
433012313210331122211331
532202044112221004111
6353151203421135313
716665216544011153
oct1706674475324575
9281225170023570
1066442690406781
111a197206639377
1275510566ba539
132b0c698b06c40
141259bb430d3d3
157a34d8208756
hex3c6de4f5a97d

66442690406781 has 24 divisors (see below), whose sum is σ = 103392354887640. Its totient is φ = 40873148896896.

The previous prime is 66442690406779. The next prime is 66442690406821. The reversal of 66442690406781 is 18760409624466.

It is a happy number.

66442690406781 is a `hidden beast` number, since 6 + 6 + 4 + 426 + 90 + 40 + 6 + 7 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13902532532100 + 52540157874681 = 3728610^2 + 7248459^2 .

It is not a de Polignac number, because 66442690406781 - 21 = 66442690406779 is a prime.

It is a super-2 number, since 2×664426904067812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66442690404781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101481906 + ... + 102134531.

It is an arithmetic number, because the mean of its divisors is an integer number (4308014786985).

Almost surely, 266442690406781 is an apocalyptic number.

It is an amenable number.

66442690406781 is a deficient number, since it is larger than the sum of its proper divisors (36949664480859).

66442690406781 is a wasteful number, since it uses less digits than its factorization.

66442690406781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203619245 (or 203619242 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 66442690406781 in words is "sixty-six trillion, four hundred forty-two billion, six hundred ninety million, four hundred six thousand, seven hundred eighty-one".

Divisors: 1 3 9 13 39 117 2789 8367 25101 36257 108771 326313 203616437 610849311 1832547933 2647013681 7941041043 23823123129 567886242793 1703658728379 5110976185137 7382521156309 22147563468927 66442690406781