Search a number
-
+
27678018816 = 2836721187
BaseRepresentation
bin11001110001101111…
…010000110100000000
32122102221002001000000
4121301233100310000
5423141033100231
620414244000000
71666613164260
oct316157206400
978387061000
1027678018816
111081357a218
125445390000
1327c12c4b36
1414a7cd77a0
15abed646e6
hex671bd0d00

27678018816 has 252 divisors, whose sum is σ = 94671882592. Its totient is φ = 7907632128.

The previous prime is 27678018803. The next prime is 27678018833. The reversal of 27678018816 is 61881087672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1295775 + ... + 1316961.

Almost surely, 227678018816 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 27678018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47335941296).

27678018816 is an abundant number, since it is smaller than the sum of its proper divisors (66993863776).

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

27678018816 is an frugal number, since it uses more digits than its factorization.

27678018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21228 (or 21199 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 27678018816 in words is "twenty-seven billion, six hundred seventy-eight million, eighteen thousand, eight hundred sixteen".