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20075636742281 = 41736707529817
BaseRepresentation
bin1001001000010001110010…
…01100100101100010001001
32122002012201122100010021222
410210020321030211202021
510112404401001223111
6110410341544011425
74141262664514331
oct444107114454211
978065648303258
1020075636742281
11644003662aaaa
122302962160b75
13b2818047b643
144d59477240c1
1524c3302777db
hex124239325889

20075636742281 has 8 divisors (see below), whose sum is σ = 20847002674344. Its totient is φ = 19317685870080.

The previous prime is 20075636742277. The next prime is 20075636742331. The reversal of 20075636742281 is 18224763657002.

It can be written as a sum of positive squares in 4 ways, for example, as 258368890000 + 19817267852281 = 508300^2 + 4451659^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20075636742281 - 22 = 20075636742277 is a prime.

It is a super-3 number, since 3×200756367422813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20075636742221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3353761916 + ... + 3353767901.

It is an arithmetic number, because the mean of its divisors is an integer number (2605875334293).

Almost surely, 220075636742281 is an apocalyptic number.

It is an amenable number.

20075636742281 is a deficient number, since it is larger than the sum of its proper divisors (771365932063).

20075636742281 is an equidigital number, since it uses as much as digits as its factorization.

20075636742281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707529931.

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 20075636742281 in words is "twenty trillion, seventy-five billion, six hundred thirty-six million, seven hundred forty-two thousand, two hundred eighty-one".

Divisors: 1 41 73 2993 6707529817 275008722497 489649676641 20075636742281