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11666764368 = 243672137149
BaseRepresentation
bin10101101110110010…
…01011001001010000
31010010002002001000000
422313121023021100
5142343142424433
65205403130000
7562053601200
oct126731131120
933102061000
1011666764368
114a47647826
122317213900
13113c0cb08c
147c9676400
15484399113
hex2b764b250

11666764368 has 420 divisors, whose sum is σ = 39978551700. Its totient is φ = 3286821888.

The previous prime is 11666764327. The next prime is 11666764379. The reversal of 11666764368 is 86346766611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3843008064 + 7823756304 = 61992^2 + 88452^2 .

It is a super-2 number, since 2×116667643682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78300358 + ... + 78300506.

Almost surely, 211666764368 is an apocalyptic number.

11666764368 is a gapful number since it is divisible by the number (18) 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 11666764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989275850).

11666764368 is an abundant number, since it is smaller than the sum of its proper divisors (28311787332).

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

11666764368 is a wasteful number, since it uses less digits than its factorization.

11666764368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 11666764368 in words is "eleven billion, six hundred sixty-six million, seven hundred sixty-four thousand, three hundred sixty-eight".