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27638680384 = 26761693483
BaseRepresentation
bin11001101111011001…
…001100101101000000
32122100012001102211001
4121233121030231000
5423101000233014
620410320501344
71665624623050
oct315731145500
978305042731
1027638680384
11107a3350717
12543417a854
1327b6100463
1414a29b7560
15abb693974
hex66f64cb40

27638680384 has 28 divisors (see below), whose sum is σ = 62680579744. Its totient is φ = 11845148544.

The previous prime is 27638680343. The next prime is 27638680423. The reversal of 27638680384 is 48308683672.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×276386803843 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 30846294 + ... + 30847189.

Almost surely, 227638680384 is an apocalyptic number.

It is an amenable number.

27638680384 is an abundant number, since it is smaller than the sum of its proper divisors (35041899360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27638680384 is an equidigital number, since it uses as much as digits as its factorization.

27638680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61693502 (or 61693492 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 27638680384 in words is "twenty-seven billion, six hundred thirty-eight million, six hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 61693483 123386966 246773932 431854381 493547864 863708762 987095728 1727417524 1974191456 3454835048 3948382912 6909670096 13819340192 27638680384