Search a number
-
+
11492627328 = 27347132937
BaseRepresentation
bin10101011010000001…
…11001001110000000
31002122221101221220000
422231000321032000
5142014103033303
65140222520000
7554540502060
oct125500711600
932587357800
1011492627328
11496831a016
122288a36000
131111ccaa00
147b04a73a0
15473e4cda3
hex2ad039380

11492627328 has 480 divisors, whose sum is σ = 42371073360. Its totient is φ = 3027787776.

The previous prime is 11492627309. The next prime is 11492627353. The reversal of 11492627328 is 82372629411.

11492627328 is a `hidden beast` number, since 1 + 14 + 9 + 2 + 627 + 3 + 2 + 8 = 666.

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

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12264876 + ... + 12265812.

Almost surely, 211492627328 is an apocalyptic number.

11492627328 is a gapful number since it is divisible by the number (18) 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 11492627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21185536680).

11492627328 is an abundant number, since it is smaller than the sum of its proper divisors (30878446032).

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

11492627328 is an equidigital number, since it uses as much as digits as its factorization.

11492627328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 962 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 11492627328 in words is "eleven billion, four hundred ninety-two million, six hundred twenty-seven thousand, three hundred twenty-eight".