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27677107241 = 731425929947
BaseRepresentation
bin11001110001101011…
…110010010000101001
32122102212100201112222
4121301223302100221
5423140314412431
620414212243425
71666602346520
oct316153622051
978385321488
1027677107241
1110813007353
125445010575
1327c1065c44
1414a7b3b4b7
15abec3457b
hex671af2429

27677107241 has 16 divisors (see below), whose sum is σ = 32660090880. Its totient is φ = 22951812240.

The previous prime is 27677107229. The next prime is 27677107243. The reversal of 27677107241 is 14270177672.

It is a de Polignac number, because none of the positive numbers 2k-27677107241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27677107192 and 27677107201.

It is not an unprimeable number, because it can be changed into a prime (27677107243) 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 15 ways as a sum of consecutive naturals, for example, 909230 + ... + 939176.

It is an arithmetic number, because the mean of its divisors is an integer number (2041255680).

Almost surely, 227677107241 is an apocalyptic number.

It is an amenable number.

27677107241 is a deficient number, since it is larger than the sum of its proper divisors (4982983639).

27677107241 is a wasteful number, since it uses less digits than its factorization.

27677107241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34244.

The product of its (nonzero) digits is 230496, while the sum is 44.

The spelling of 27677107241 in words is "twenty-seven billion, six hundred seventy-seven million, one hundred seven thousand, two hundred forty-one".

Divisors: 1 7 31 217 4259 29813 29947 132029 209629 924203 928357 6498499 127544273 892809911 3953872463 27677107241