Search a number
-
+
11048381370 = 236513731597
BaseRepresentation
bin10100100101000100…
…01110101110111010
31001111222110221000000
422102202032232322
5140111341200440
65024153053430
7540534456255
oct122242165672
931458427000
1011048381370
11475a5834a4
1221840b7276
131070c67090
1476b4a609c
15449e49730
hex29288ebba

11048381370 has 224 divisors, whose sum is σ = 32570857872. Its totient is φ = 2680667136.

The previous prime is 11048381363. The next prime is 11048381371. The reversal of 11048381370 is 7318384011.

11048381370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1616281209 + 9432100161 = 40203^2 + 97119^2 .

It is not an unprimeable number, because it can be changed into a prime (11048381371) by changing a digit.

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, 6917412 + ... + 6919008.

Almost surely, 211048381370 is an apocalyptic number.

11048381370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11048381370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285428936).

11048381370 is an abundant number, since it is smaller than the sum of its proper divisors (21522476502).

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

11048381370 is a wasteful number, since it uses less digits than its factorization.

11048381370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11048381370 in words is "eleven billion, forty-eight million, three hundred eighty-one thousand, three hundred seventy".