Search a number
-
+
11283452928 = 210341183149
BaseRepresentation
bin10101000001000101…
…11101010000000000
31002010100210210120000
422200202331100000
5141102030443203
65103351320000
7546420524136
oct124042752000
932110723500
1011283452928
114870240210
12222a980000
1310aa880887
147907b7756
154608d04a3
hex2a08bd400

11283452928 has 440 divisors, whose sum is σ = 37450274400. Its totient is φ = 3355361280.

The previous prime is 11283452911. The next prime is 11283452951. The reversal of 11283452928 is 82925438211.

11283452928 is a `hidden beast` number, since 1 + 12 + 8 + 345 + 292 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75727798 + ... + 75727946.

It is an arithmetic number, because the mean of its divisors is an integer number (85114260).

Almost surely, 211283452928 is an apocalyptic number.

11283452928 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 11283452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18725137200).

11283452928 is an abundant number, since it is smaller than the sum of its proper divisors (26166821472).

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

11283452928 is a wasteful number, since it uses less digits than its factorization.

11283452928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 11283452928 in words is "eleven billion, two hundred eighty-three million, four hundred fifty-two thousand, nine hundred twenty-eight".