Search a number
-
+
11344445016 = 2331374917027
BaseRepresentation
bin10101001000010111…
…00111111001011000
31002021121120111222020
422210023213321120
5141213134220031
65113410454440
7551061122502
oct124413477130
932247514866
1011344445016
1148a17094a3
122247294420
1310ba3b7278
14798932d72
15465e2c096
hex2a42e7e58

11344445016 has 64 divisors (see below), whose sum is σ = 28630385280. Its totient is φ = 3745701120.

The previous prime is 11344445003. The next prime is 11344445017. The reversal of 11344445016 is 61054444311.

11344445016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344445017) 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 15 ways as a sum of consecutive naturals, for example, 1610895 + ... + 1617921.

It is an arithmetic number, because the mean of its divisors is an integer number (447349770).

Almost surely, 211344445016 is an apocalyptic number.

It is an amenable number.

11344445016 is an abundant number, since it is smaller than the sum of its proper divisors (17285940264).

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

11344445016 is a wasteful number, since it uses less digits than its factorization.

11344445016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 11344445016 its reverse (61054444311), we get a palindrome (72398889327).

The spelling of 11344445016 in words is "eleven billion, three hundred forty-four million, four hundred forty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 491 548 822 982 1096 1473 1644 1964 2946 3288 3928 5892 7027 11784 14054 21081 28108 42162 56216 67267 84324 134534 168648 201801 269068 403602 538136 807204 962699 1614408 1925398 2888097 3450257 3850796 5776194 6900514 7701592 10350771 11552388 13801028 20701542 23104776 27602056 41403084 82806168 472685209 945370418 1418055627 1890740836 2836111254 3781481672 5672222508 11344445016