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11663224416 = 253240497307
BaseRepresentation
bin10101101110010111…
…01010111001100000
31010002211102012002200
422313023222321200
5142341241140131
65205155213200
7562011525504
oct126713527140
933084365080
1011663224416
114a4564a148
122315ba7200
13113b45ba2c
147c8dd4304
15483dea2e6
hex2b72eae60

11663224416 has 36 divisors (see below), whose sum is σ = 33167295252. Its totient is φ = 3887741376.

The previous prime is 11663224393. The next prime is 11663224427. The reversal of 11663224416 is 61442236611.

11663224416 is a `hidden beast` number, since 1 + 1 + 6 + 632 + 2 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 20248366 + ... + 20248941.

It is an arithmetic number, because the mean of its divisors is an integer number (921313757).

Almost surely, 211663224416 is an apocalyptic number.

11663224416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11663224416 is an abundant number, since it is smaller than the sum of its proper divisors (21504070836).

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

11663224416 is a wasteful number, since it uses less digits than its factorization.

11663224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40497323 (or 40497312 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 11663224416 in words is "eleven billion, six hundred sixty-three million, two hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40497307 80994614 121491921 161989228 242983842 323978456 364475763 485967684 647956912 728951526 971935368 1295913824 1457903052 1943870736 2915806104 3887741472 5831612208 11663224416