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8060076288 = 283311227467
BaseRepresentation
bin1111000000110101…
…10000000100000000
3202210201110022002000
413200122300010000
5113001334420123
63411443224000
7403510342455
oct74032600400
922721408060
108060076288
113466780680
12168b378000
139b5b18a14
1456666582c
15322915b43
hex1e06b0100

8060076288 has 288 divisors, whose sum is σ = 26172357120. Its totient is φ = 2426480640.

The previous prime is 8060076287. The next prime is 8060076293. The reversal of 8060076288 is 8826700608.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (8060076287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17259031 + ... + 17259497.

It is an arithmetic number, because the mean of its divisors is an integer number (90876240).

Almost surely, 28060076288 is an apocalyptic number.

8060076288 is a gapful number since it is divisible by the number (88) 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 8060076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086178560).

8060076288 is an abundant number, since it is smaller than the sum of its proper divisors (18112280832).

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

8060076288 is a wasteful number, since it uses less digits than its factorization.

8060076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8060076288 is about 89777.9276214371. The cubic root of 8060076288 is about 2004.9938775484.

The spelling of 8060076288 in words is "eight billion, sixty million, seventy-six thousand, two hundred eighty-eight".