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26271101141 = 809172118869
BaseRepresentation
bin11000011101111000…
…010011000011010101
32111210212201012202222
4120131320103003111
5412300400214031
620022504512125
71620010450415
oct303570230325
974725635688
1026271101141
111016139613a
12511217b645
13262899377c
1413b3104645
15a3b5a4e7b
hex61de130d5

26271101141 has 8 divisors (see below), whose sum is σ = 26320253400. Its totient is φ = 26221991680.

The previous prime is 26271101123. The next prime is 26271101177. The reversal of 26271101141 is 14110117262.

It can be written as a sum of positive squares in 4 ways, for example, as 19831680625 + 6439420516 = 140825^2 + 80246^2 .

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 26271101141 - 226 = 26203992277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26271101141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26271101641) 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, 1382855 + ... + 1401723.

It is an arithmetic number, because the mean of its divisors is an integer number (3290031675).

Almost surely, 226271101141 is an apocalyptic number.

It is an amenable number.

26271101141 is a deficient number, since it is larger than the sum of its proper divisors (49152259).

26271101141 is a wasteful number, since it uses less digits than its factorization.

26271101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21399.

The product of its (nonzero) digits is 672, while the sum is 26.

The spelling of 26271101141 in words is "twenty-six billion, two hundred seventy-one million, one hundred one thousand, one hundred forty-one".

Divisors: 1 809 1721 18869 1392289 15265021 32473549 26271101141