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8643812440 = 235237191141
BaseRepresentation
bin10000000110011011…
…00001110001011000
3211022101212011112111
420003031201301120
5120200303444230
63545414522104
7424126123234
oct100315416130
924271764474
108643812440
11373623024a
121812966334
13a79a3b923
145bddb75c4
15358cbe92a
hex203361c58

8643812440 has 32 divisors (see below), whose sum is σ = 19456994160. Its totient is φ = 3456028800.

The previous prime is 8643812417. The next prime is 8643812473. The reversal of 8643812440 is 442183468.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8643812393 and 8643812402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49270 + ... + 140410.

Almost surely, 28643812440 is an apocalyptic number.

It is an amenable number.

8643812440 is an abundant number, since it is smaller than the sum of its proper divisors (10813181720).

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

8643812440 is a wasteful number, since it uses less digits than its factorization.

8643812440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93523 (or 93519 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 8643812440 is about 92972.1057091857. The cubic root of 8643812440 is about 2052.2729055519.

The spelling of 8643812440 in words is "eight billion, six hundred forty-three million, eight hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2371 4742 9484 11855 18968 23710 47420 91141 94840 182282 364564 455705 729128 911410 1822820 3645640 216095311 432190622 864381244 1080476555 1728762488 2160953110 4321906220 8643812440