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27744674129 = 294123334461
BaseRepresentation
bin11001110101101101…
…100010000101010001
32122121120111110220022
4121311231202011101
5423310114033004
620425024353225
72001352560524
oct316555420521
978546443808
1027744674129
1110848166357
125463775815
132802062153
1414b2ac8bbb
15ac5b2e2be
hex675b62151

27744674129 has 8 divisors (see below), whose sum is σ = 29401422120. Its totient is φ = 26134595200.

The previous prime is 27744674123. The next prime is 27744674131. The reversal of 27744674129 is 92147644772.

It can be written as a sum of positive squares in 4 ways, for example, as 73017025 + 27671657104 = 8545^2 + 166348^2 .

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 27744674129 - 212 = 27744670033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27744674123) 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, 11666042 + ... + 11668419.

It is an arithmetic number, because the mean of its divisors is an integer number (3675177765).

Almost surely, 227744674129 is an apocalyptic number.

27744674129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27744674129 is a deficient number, since it is larger than the sum of its proper divisors (1656747991).

27744674129 is a wasteful number, since it uses less digits than its factorization.

27744674129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23334531.

The product of its digits is 4741632, while the sum is 53.

The spelling of 27744674129 in words is "twenty-seven billion, seven hundred forty-four million, six hundred seventy-four thousand, one hundred twenty-nine".

Divisors: 1 29 41 1189 23334461 676699369 956712901 27744674129