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27110681856 = 283816141
BaseRepresentation
bin11001001111111011…
…000010110100000000
32120222101112100000000
4121033323002310000
5421010313304411
620242100000000
71646553664536
oct311773026400
976871470000
1027110681856
11105523005a5
125307390000
1327308c43ab
141452814156
15a8a149956
hex64fec2d00

27110681856 has 162 divisors, whose sum is σ = 81174098642. Its totient is φ = 9036334080.

The previous prime is 27110681837. The next prime is 27110681887. The reversal of 27110681856 is 65818601172.

It can be written as a sum of positive squares in only one way, i.e., 22212921600 + 4897760256 = 149040^2 + 69984^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1671546 + ... + 1687686.

Almost surely, 227110681856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27110681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40587049321).

27110681856 is an abundant number, since it is smaller than the sum of its proper divisors (54063416786).

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

27110681856 is an frugal number, since it uses more digits than its factorization.

27110681856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 27110681856 in words is "twenty-seven billion, one hundred ten million, six hundred eighty-one thousand, eight hundred fifty-six".