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8118066240 = 26355104399
BaseRepresentation
bin1111000111101111…
…11101110001000000
3202221202120111100000
413203313331301000
5113111211104430
63421314200000
7405113265414
oct74367756100
922852514300
108118066240
113496489359
1216a6883000
139c4b40abb
1457023cd44
15327a6ce60
hex1e3dfdc40

8118066240 has 168 divisors, whose sum is σ = 28957219200. Its totient is φ = 2164796928.

The previous prime is 8118066227. The next prime is 8118066247. The reversal of 8118066240 is 426608118.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 8118066195 and 8118066204.

It is not an unprimeable number, because it can be changed into a prime (8118066247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25561 + ... + 129959.

It is an arithmetic number, because the mean of its divisors is an integer number (172364400).

Almost surely, 28118066240 is an apocalyptic number.

8118066240 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 8118066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478609600).

8118066240 is an abundant number, since it is smaller than the sum of its proper divisors (20839152960).

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

8118066240 is a wasteful number, since it uses less digits than its factorization.

8118066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104431 (or 104409 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8118066240 is about 90100.3120971287. The cubic root of 8118066240 is about 2009.7908447993.

The spelling of 8118066240 in words is "eight billion, one hundred eighteen million, sixty-six thousand, two hundred forty".