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11666839296 = 28374121291
BaseRepresentation
bin10101101110110010…
…11101011100000000
31010010002012211210010
422313121131130000
5142343202324141
65205404504520
7562054332510
oct126731353400
933102184703
1011666839296
114a47699052
12231724b140
13113c126208
147c9695840
154843b1416
hex2b765d700

11666839296 has 216 divisors, whose sum is σ = 36401448832. Its totient is φ = 3249561600.

The previous prime is 11666839259. The next prime is 11666839381. The reversal of 11666839296 is 69293866611.

11666839296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116668392962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9036411 + ... + 9037701.

Almost surely, 211666839296 is an apocalyptic number.

11666839296 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 11666839296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200724416).

11666839296 is an abundant number, since it is smaller than the sum of its proper divisors (24734609536).

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

11666839296 is an equidigital number, since it uses as much as digits as its factorization.

11666839296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1344 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 57.

The spelling of 11666839296 in words is "eleven billion, six hundred sixty-six million, eight hundred thirty-nine thousand, two hundred ninety-six".