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27894014849 = 291749754973
BaseRepresentation
bin11001111110100111…
…001110001110000001
32122222222111202212002
4121332213032032001
5424111331433344
620451521313345
72005145133311
oct317647161601
978888452762
1027894014849
1110914498238
1254a5795855
132826c8cc3c
1414c8881441
15ad3ccd44e
hex67e9ce381

27894014849 has 8 divisors (see below), whose sum is σ = 28858051560. Its totient is φ = 26930123136.

The previous prime is 27894014821. The next prime is 27894014891. The reversal of 27894014849 is 94841049872.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 27894010225 = 68^2 + 167015^2 .

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 27894014849 - 28 = 27894014593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27894014794 and 27894014803.

It is not an unprimeable number, because it can be changed into a prime (27894014899) 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, 479927 + ... + 534899.

It is an arithmetic number, because the mean of its divisors is an integer number (3607256445).

Almost surely, 227894014849 is an apocalyptic number.

27894014849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27894014849 is a deficient number, since it is larger than the sum of its proper divisors (964036711).

27894014849 is a wasteful number, since it uses less digits than its factorization.

27894014849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72499.

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 27894014849 in words is "twenty-seven billion, eight hundred ninety-four million, fourteen thousand, eight hundred forty-nine".

Divisors: 1 29 17497 54973 507413 1594217 961862581 27894014849