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42881807622641 = 1318797175485481
BaseRepresentation
bin10011100000000001100101…
…11010010010000111110001
312121211110102220101102100212
421300000302322102013301
521110033420222411031
6231111344102553505
712014052111501221
oct1160006272220761
9177743386342325
1042881807622641
1112733088527339
124986946738895
131ac097756bab0
14a836c2168081
154e56c301c12b
hex270032e921f1

42881807622641 has 8 divisors (see below), whose sum is σ = 46182865268904. Its totient is φ = 39581100984960.

The previous prime is 42881807622631. The next prime is 42881807622673. The reversal of 42881807622641 is 14622670818824.

It can be written as a sum of positive squares in 4 ways, for example, as 1946571878416 + 40935235744225 = 1395196^2 + 6398065^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42881807622641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42881807622631) 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 7 ways as a sum of consecutive naturals, for example, 87498380 + ... + 87987101.

It is an arithmetic number, because the mean of its divisors is an integer number (5772858158613).

Almost surely, 242881807622641 is an apocalyptic number.

It is an amenable number.

42881807622641 is a deficient number, since it is larger than the sum of its proper divisors (3301057646263).

42881807622641 is a wasteful number, since it uses less digits than its factorization.

42881807622641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175504291.

The product of its (nonzero) digits is 16515072, while the sum is 59.

The spelling of 42881807622641 in words is "forty-two trillion, eight hundred eighty-one billion, eight hundred seven million, six hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 13 18797 244361 175485481 2281311253 3298600586357 42881807622641