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12050643727681 = 1315712494727209
BaseRepresentation
bin1010111101011100001001…
…0101101011010101000001
31120200000211002012000210021
42233113002111223111001
53034414204243241211
641343553404533441
72352426120416236
oct257270225532501
946600732160707
1012050643727681
113926716251aa9
1214275b4251281
136954a8928660
142d937b9d978d
1515d6e906e771
hexaf5c256b541

12050643727681 has 16 divisors (see below), whose sum is σ = 13070735650000. Its totient is φ = 11043968053248.

The previous prime is 12050643727583. The next prime is 12050643727721. The reversal of 12050643727681 is 18672734605021.

12050643727681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2143761577281 + 9906882150400 = 1464159^2 + 3147520^2 .

It is not a de Polignac number, because 12050643727681 - 27 = 12050643727553 is a prime.

It is a super-2 number, since 2×120506437276812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12050643727481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185605 + ... + 4912813.

It is an arithmetic number, because the mean of its divisors is an integer number (816920978125).

Almost surely, 212050643727681 is an apocalyptic number.

It is an amenable number.

12050643727681 is a deficient number, since it is larger than the sum of its proper divisors (1020091922319).

12050643727681 is a wasteful number, since it uses less digits than its factorization.

12050643727681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728628.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 12050643727681 in words is "twelve trillion, fifty billion, six hundred forty-three million, seven hundred twenty-seven thousand, six hundred eighty-one".

Divisors: 1 13 157 1249 2041 16237 196093 2549209 4727209 61453717 742171813 5904284041 9648233569 76755692533 926972594437 12050643727681