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8218040040 = 23325717191831
BaseRepresentation
bin1111010011101010…
…10101011011101000
3210012201200200121100
413221311111123220
5113312304240130
63435245041400
7410436121260
oct75165253350
923181620540
108218040040
113537962131
121714256260
13a0c7756b2
1457d6247a0
15331719c60
hex1e9d556e8

8218040040 has 192 divisors, whose sum is σ = 32319855360. Its totient is φ = 1767905280.

The previous prime is 8218040029. The next prime is 8218040059. The reversal of 8218040040 is 400408128.

8218040040 is a `hidden beast` number, since 8 + 218 + 0 + 400 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8218039986 and 8218040013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53076 + ... + 138755.

It is an arithmetic number, because the mean of its divisors is an integer number (168332580).

Almost surely, 28218040040 is an apocalyptic number.

It is an amenable number.

8218040040 is an abundant number, since it is smaller than the sum of its proper divisors (24101815320).

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

8218040040 is a wasteful number, since it uses less digits than its factorization.

8218040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191872 (or 191865 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8218040040 is about 90653.4061136149. The cubic root of 8218040040 is about 2018.0073837994.

Adding to 8218040040 its reverse (400408128), we get a palindrome (8618448168).

The spelling of 8218040040 in words is "eight billion, two hundred eighteen million, forty thousand, forty".