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8812074240 = 2835541691
BaseRepresentation
bin10000011010011110…
…11001010100000000
3211202010110202100000
420031033121110000
5121021342333430
64014225200000
7431241252354
oct101517312400
924663422300
108812074240
113812205892
12185b190000
13aa5862a18
145d8497464
15368959e60
hex20d3d9500

8812074240 has 432 divisors, whose sum is σ = 32436121536. Its totient is φ = 2289254400.

The previous prime is 8812074223. The next prime is 8812074247. The reversal of 8812074240 is 424702188.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×88120742402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8812074195 and 8812074204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8812074247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12752295 + ... + 12752985.

Almost surely, 28812074240 is an apocalyptic number.

8812074240 is a gapful number since it is divisible by the number (80) 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 8812074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218060768).

8812074240 is an abundant number, since it is smaller than the sum of its proper divisors (23624047296).

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

8812074240 is an equidigital number, since it uses as much as digits as its factorization.

8812074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 8812074240 is about 93872.6490517872. The cubic root of 8812074240 is about 2065.5040416475.

The spelling of 8812074240 in words is "eight billion, eight hundred twelve million, seventy-four thousand, two hundred forty".