Search a number
-
+
27296685936 = 243313172331401
BaseRepresentation
bin11001011011000000…
…100101111101110000
32121110100112022122000
4121123000211331300
5421400422422221
620312342414000
71654303000512
oct313300457560
977410468560
1027296685936
11106382a4183
125359731300
1327602bb090
14146d3d1bb2
15a9b63be26
hex65b025f70

27296685936 has 640 divisors, whose sum is σ = 96473825280. Its totient is φ = 7299072000.

The previous prime is 27296685859. The next prime is 27296685943. The reversal of 27296685936 is 63958669272.

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 127 ways as a sum of consecutive naturals, for example, 68071336 + ... + 68071736.

It is an arithmetic number, because the mean of its divisors is an integer number (150740352).

Almost surely, 227296685936 is an apocalyptic number.

27296685936 is a gapful number since it is divisible by the number (26) 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 27296685936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48236912640).

27296685936 is an abundant number, since it is smaller than the sum of its proper divisors (69177139344).

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

27296685936 is a wasteful number, since it uses less digits than its factorization.

27296685936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 27296685936 in words is "twenty-seven billion, two hundred ninety-six million, six hundred eighty-five thousand, nine hundred thirty-six".