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26142620523641 = 1729132109401393
BaseRepresentation
bin1011111000110110011011…
…00111000001110001111001
310102120012200011200022221022
411330123031213001301321
511411310041323224031
6131333430513552225
75335512336003026
oct574331547016171
9112505604608838
1026142620523641
11836a028826846
122b22746875675
1311783140b330b
1466544970054d
15305069b2697b
hex17c6cd9c1c79

26142620523641 has 16 divisors (see below), whose sum is σ = 28635207123600. Its totient is φ = 23756138262528.

The previous prime is 26142620523629. The next prime is 26142620523647. The reversal of 26142620523641 is 14632502624162.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2694509118016 + 23448111405625 = 1641496^2 + 4842325^2 .

It is a cyclic number.

It is not a de Polignac number, because 26142620523641 - 26 = 26142620523577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26142620523592 and 26142620523601.

It is not an unprimeable number, because it can be changed into a prime (26142620523647) 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, 64929041 + ... + 65330433.

It is an arithmetic number, because the mean of its divisors is an integer number (1789700445225).

Almost surely, 226142620523641 is an apocalyptic number.

It is an amenable number.

26142620523641 is a deficient number, since it is larger than the sum of its proper divisors (2492586599959).

26142620523641 is a wasteful number, since it uses less digits than its factorization.

26142620523641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533548.

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 26142620523641 in words is "twenty-six trillion, one hundred forty-two billion, six hundred twenty million, five hundred twenty-three thousand, six hundred forty-one".

Divisors: 1 17 29 493 132109 401393 2245853 3831161 6823681 11640397 65129737 197886749 53027627837 901469673229 1537801207273 26142620523641