Search a number
-
+
27686714328 = 233671324013
BaseRepresentation
bin11001110010010000…
…011011101111011000
32122110112102211000000
4121302100123233120
5423200244324303
620415154213000
72000050121520
oct316220335730
978415384000
1027686714328
1110818479299
125448284160
1327c304aa00
1414a911c680
15ac09d0da3
hex67241bbd8

27686714328 has 336 divisors, whose sum is σ = 96345151920. Its totient is φ = 7300171008.

The previous prime is 27686714299. The next prime is 27686714351. The reversal of 27686714328 is 82341768672.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6897250 + ... + 6901262.

Almost surely, 227686714328 is an apocalyptic number.

27686714328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27686714328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48172575960).

27686714328 is an abundant number, since it is smaller than the sum of its proper divisors (68658437592).

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

27686714328 is a wasteful number, since it uses less digits than its factorization.

27686714328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4038 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 27686714328 in words is "twenty-seven billion, six hundred eighty-six million, seven hundred fourteen thousand, three hundred twenty-eight".