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27401172341 = 52185361657
BaseRepresentation
bin11001100001001111…
…001011010101110101
32121201122010210000212
4121201033023111311
5422104200003331
620330554115205
71660012056554
oct314117132565
977648123025
1027401172341
111069127a384
12538871bb05
132778b4295a
14147d22dd9b
15aa58cad2b
hex6613cb575

27401172341 has 8 divisors (see below), whose sum is σ = 27486396504. Its totient is φ = 27316074240.

The previous prime is 27401172301. The next prime is 27401172343. The reversal of 27401172341 is 14327110472.

It can be written as a sum of positive squares in 4 ways, for example, as 1322500 + 27399849841 = 1150^2 + 165529^2 .

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 27401172341 - 218 = 27400910197 is a prime.

It is a super-2 number, since 2×274011723412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27401172298 and 27401172307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27401172343) 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, 413585 + ... + 475241.

It is an arithmetic number, because the mean of its divisors is an integer number (3435799563).

Almost surely, 227401172341 is an apocalyptic number.

It is an amenable number.

27401172341 is a deficient number, since it is larger than the sum of its proper divisors (85224163).

27401172341 is an equidigital number, since it uses as much as digits as its factorization.

27401172341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63031.

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 27401172341 in words is "twenty-seven billion, four hundred one million, one hundred seventy-two thousand, three hundred forty-one".

Divisors: 1 521 853 61657 444413 32123297 52593421 27401172341