Search a number
-
+
11079663616 = 2147237373
BaseRepresentation
bin10100101000110011…
…00100000000000000
31001121011100020011201
422110121210000000
5140142343213431
65031231350544
7541364405200
oct122431440000
931534306151
1011079663616
1147761aa29a
122192682454
13107759a898
147716ca400
1544ca78461
hex294664000

11079663616 has 180 divisors, whose sum is σ = 26544022428. Its totient is φ = 4607705088.

The previous prime is 11079663611. The next prime is 11079663641. The reversal of 11079663616 is 61636697011.

It can be written as a sum of positive squares in 2 ways, for example, as 8189526016 + 2890137600 = 90496^2 + 53760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11079663611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29704006 + ... + 29704378.

Almost surely, 211079663616 is an apocalyptic number.

11079663616 is a gapful number since it is divisible by the number (16) 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 11079663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272011214).

11079663616 is an abundant number, since it is smaller than the sum of its proper divisors (15464358812).

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

11079663616 is an frugal number, since it uses more digits than its factorization.

11079663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 11079663616 in words is "eleven billion, seventy-nine million, six hundred sixty-three thousand, six hundred sixteen".