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8064375660 = 22335114331573
BaseRepresentation
bin1111000001010110…
…01001101101101100
3202211000112201201000
413200223021231230
5113003440010120
63412115320300
7403562030205
oct74053115554
922730481630
108064375660
113469147880
1216908b0090
139b6992923
145670645ac
15322eb4990
hex1e0ac9b6c

8064375660 has 192 divisors, whose sum is σ = 28007400960. Its totient is φ = 1909474560.

The previous prime is 8064375659. The next prime is 8064375661. The reversal of 8064375660 is 665734608.

8064375660 is a `hidden beast` number, since 80 + 6 + 4 + 3 + 7 + 566 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8064375659) and next prime (8064375661).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8064375661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239634 + ... + 271206.

It is an arithmetic number, because the mean of its divisors is an integer number (145871880).

Almost surely, 28064375660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8064375660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003700480).

8064375660 is an abundant number, since it is smaller than the sum of its proper divisors (19943025300).

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

8064375660 is a wasteful number, since it uses less digits than its factorization.

8064375660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31645 (or 31637 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8064375660 is about 89801.8689115099. The cubic root of 8064375660 is about 2005.3503126475.

The spelling of 8064375660 in words is "eight billion, sixty-four million, three hundred seventy-five thousand, six hundred sixty".