Search a number
-
+
27094072320 = 21036571761
BaseRepresentation
bin11001001110111011…
…101011110000000000
32120221020021111000000
4121032323223300000
5420442040303240
620240304000000
71646262546330
oct311673536000
976836244000
1027094072320
1110543996607
125301900000
13272a32a273
14145052d0c0
15a88968430
hex64eeebc00

27094072320 has 1232 divisors, whose sum is σ = 119851489728. Its totient is φ = 5733089280.

The previous prime is 27094072307. The next prime is 27094072403. The reversal of 27094072320 is 2327049072.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 444165090 + ... + 444165150.

Almost surely, 227094072320 is an apocalyptic number.

27094072320 is a gapful number since it is divisible by the number (20) 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 27094072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59925744864).

27094072320 is an abundant number, since it is smaller than the sum of its proper divisors (92757417408).

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

27094072320 is an equidigital number, since it uses as much as digits as its factorization.

27094072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 27094072320 in words is "twenty-seven billion, ninety-four million, seventy-two thousand, three hundred twenty".