Search a number
-
+
11444481048 = 23371131331127
BaseRepresentation
bin10101010100010010…
…01110110000011000
31002112120210212121110
422222021032300120
5141414241343143
65131342540320
7553414324650
oct125211166030
932476725543
1011444481048
114943125000
1222748976a0
1311050412a0
147a7d33360
1546eadc533
hex2aa24ec18

11444481048 has 512 divisors, whose sum is σ = 40296775680. Its totient is φ = 2634508800.

The previous prime is 11444481011. The next prime is 11444481067. The reversal of 11444481048 is 84018444411.

It is a super-2 number, since 2×114444810482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 11444480997 and 11444481015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90113961 + ... + 90114087.

It is an arithmetic number, because the mean of its divisors is an integer number (78704640).

Almost surely, 211444481048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444481048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20148387840).

11444481048 is an abundant number, since it is smaller than the sum of its proper divisors (28852294632).

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

11444481048 is a wasteful number, since it uses less digits than its factorization.

11444481048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The spelling of 11444481048 in words is "eleven billion, four hundred forty-four million, four hundred eighty-one thousand, forty-eight".