Search a number
-
+
11665982496 = 2537312572179
BaseRepresentation
bin10101101110101100…
…01100010000100000
31010010000121022110210
422313112030100200
5142342442414441
65205334254120
7562044133530
oct126726142040
933100538423
1011665982496
114a47163353
122316ab7340
13113bbb622c
147c95114c0
15484292616
hex2b758c420

11665982496 has 192 divisors, whose sum is σ = 36284129280. Its totient is φ = 3211591680.

The previous prime is 11665982491. The next prime is 11665982551. The reversal of 11665982496 is 69428956611.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11665982491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5352735 + ... + 5354913.

It is an arithmetic number, because the mean of its divisors is an integer number (188979840).

Almost surely, 211665982496 is an apocalyptic number.

11665982496 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 11665982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142064640).

11665982496 is an abundant number, since it is smaller than the sum of its proper divisors (24618146784).

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

11665982496 is a wasteful number, since it uses less digits than its factorization.

11665982496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2479 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 11665982496 in words is "eleven billion, six hundred sixty-five million, nine hundred eighty-two thousand, four hundred ninety-six".