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20938449818799 = 341491734895171
BaseRepresentation
bin1001100001011000111001…
…10111010001010010101111
32202010200210120100202120000
410300230130313101102233
510221023421123200144
6112310554022355343
74260516206614332
oct460543467212257
982120716322500
1020938449818799
116742a46070887
12242201858bb53
13b8b6449103c6
145255d7da8619
152649ccc3b769
hex130b1cdd14af

20938449818799 has 20 divisors (see below), whose sum is σ = 31488347371800. Its totient is φ = 13865282198640.

The previous prime is 20938449818789. The next prime is 20938449818807. The reversal of 20938449818799 is 99781894483902.

20938449818799 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 8 + 449 + 8 + 1 + 87 + 99 = 666.

It is not a de Polignac number, because 20938449818799 - 28 = 20938449818543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20938449818789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 867435517 + ... + 867459654.

It is an arithmetic number, because the mean of its divisors is an integer number (1574417368590).

Almost surely, 220938449818799 is an apocalyptic number.

20938449818799 is a deficient number, since it is larger than the sum of its proper divisors (10549897553001).

20938449818799 is a wasteful number, since it uses less digits than its factorization.

20938449818799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734895332 (or 1734895323 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 20938449818799 in words is "twenty trillion, nine hundred thirty-eight billion, four hundred forty-nine million, eight hundred eighteen thousand, seven hundred ninety-nine".

Divisors: 1 3 9 27 81 149 447 1341 4023 12069 1734895171 5204685513 15614056539 46842169617 140526508851 258499380479 775498141437 2326494424311 6979483272933 20938449818799