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20754834448842 = 23213412163313993
BaseRepresentation
bin1001011100000010111001…
…00010001110000111001010
32201111010212002122112002100
410232001130202032013022
510210021400104330332
6112050350032014230
74241326100666124
oct456013442160712
981433762575070
1020754834448842
116682091a7274a
1223b2514091376
13b77231c66bc0
1451a779d7c214
1525ed32e3767c
hex12e05c88e1ca

20754834448842 has 48 divisors (see below), whose sum is σ = 49609116510408. Its totient is φ = 6230344296960.

The previous prime is 20754834448841. The next prime is 20754834448847. The reversal of 20754834448842 is 24884443845702.

20754834448842 is a `hidden beast` number, since 2 + 0 + 7 + 548 + 3 + 4 + 4 + 4 + 8 + 84 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12302563265001 + 8452271183841 = 3507501^2 + 2907279^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20754834448842.

It is not an unprimeable number, because it can be changed into a prime (20754834448841) 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 23 ways as a sum of consecutive naturals, for example, 1081647403 + ... + 1081666590.

Almost surely, 220754834448842 is an apocalyptic number.

20754834448842 is an abundant number, since it is smaller than the sum of its proper divisors (28854282061566).

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

20754834448842 is a wasteful number, since it uses less digits than its factorization.

20754834448842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163314055 (or 2163314052 counting only the distinct ones).

The product of its (nonzero) digits is 220200960, while the sum is 63.

The spelling of 20754834448842 in words is "twenty trillion, seven hundred fifty-four billion, eight hundred thirty-four million, four hundred forty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 2163313993 4326627986 6489941979 12979883958 19469825937 28123081909 38939651874 56246163818 84369245727 88695873713 168738491454 177391747426 253107737181 266087621139 506215474362 532175242278 798262863417 1153046358269 1596525726834 2306092716538 3459139074807 6918278149614 10377417224421 20754834448842