Search a number
-
+
11489521344 = 263783127811
BaseRepresentation
bin10101011001101010…
…00010111011000000
31002122201120011021120
422230311002323000
5142012304140334
65140032152240
7554502214530
oct125465027300
932581504246
1011489521344
114966598494
122287998680
131111481052
147adcd94c0
15473a37949
hex2acd42ec0

11489521344 has 224 divisors, whose sum is σ = 35481255936. Its totient is φ = 3213665280.

The previous prime is 11489521333. The next prime is 11489521387. The reversal of 11489521344 is 44312598411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11489521296 and 11489521305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14166699 + ... + 14167509.

It is an arithmetic number, because the mean of its divisors is an integer number (158398464).

Almost surely, 211489521344 is an apocalyptic number.

11489521344 is a gapful number since it is divisible by the number (14) 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 11489521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740627968).

11489521344 is an abundant number, since it is smaller than the sum of its proper divisors (23991734592).

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

11489521344 is a wasteful number, since it uses less digits than its factorization.

11489521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 11489521344 in words is "eleven billion, four hundred eighty-nine million, five hundred twenty-one thousand, three hundred forty-four".