Search a number
-
+
11001492544 = 267218732
BaseRepresentation
bin10100011111011110…
…10111010001000000
31001101201020201121211
422033233113101000
5140012340230134
65015400055504
7536425100200
oct121757272100
931351221554
1011001492544
1147360681a9
122170464594
13106432ab03
1476517c400
15445c86764
hex28fbd7440

11001492544 has 63 divisors (see below), whose sum is σ = 25408911717. Its totient is φ = 4712408064.

The previous prime is 11001492493. The next prime is 11001492559. The reversal of 11001492544 is 44529410011.

The square root of 11001492544 is 104888.

It is a perfect power (a square), and thus also a powerful number.

11001492544 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 only one way, i.e., 291726400 + 10709766144 = 17080^2 + 103488^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5872792 + ... + 5874664.

It is an arithmetic number, because the mean of its divisors is an integer number (403316059).

Almost surely, 211001492544 is an apocalyptic number.

11001492544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11001492544 is the 104888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001492544

11001492544 is an abundant number, since it is smaller than the sum of its proper divisors (14407419173).

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

11001492544 is an frugal number, since it uses more digits than its factorization.

11001492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 11001492544 in words is "eleven billion, one million, four hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 1873 3136 3746 7492 13111 14984 26222 29968 52444 59936 91777 104888 119872 183554 209776 367108 419552 734216 839104 1468432 2936864 3508129 5873728 7016258 14032516 24556903 28065032 49113806 56130064 98227612 112260128 171898321 196455224 224520256 343796642 392910448 687593284 785820896 1375186568 1571641792 2750373136 5500746272 11001492544