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8064023148 = 223386412
BaseRepresentation
bin1111000001010011…
…10011101001101100
3202210222212211011000
413200221303221230
5113003342220043
63412104000300
7403556031366
oct74051635154
922728784130
108064023148
113468a26a45
121690760090
139b689b33c
14566db1d36
15322e452d3
hex1e0a73a6c

8064023148 has 36 divisors (see below), whose sum is σ = 20909146440. Its totient is φ = 2687696640.

The previous prime is 8064023147. The next prime is 8064023159. The reversal of 8064023148 is 8413204608.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8064023148 is a `hidden beast` number, since 8 + 0 + 640 + 2 + 3 + 1 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (8064023141) 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 11 ways as a sum of consecutive naturals, for example, 928908 + ... + 937548.

Almost surely, 28064023148 is an apocalyptic number.

It is an amenable number.

8064023148 is an abundant number, since it is smaller than the sum of its proper divisors (12845123292).

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

8064023148 is an frugal number, since it uses more digits than its factorization.

8064023148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17295 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8064023148 is about 89799.9061692160. The cubic root of 8064023148 is about 2005.3210927641.

The spelling of 8064023148 in words is "eight billion, sixty-four million, twenty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 8641 17282 25923 34564 51846 77769 103692 155538 233307 311076 466614 933228 74666881 149333762 224000643 298667524 448001286 672001929 896002572 1344003858 2016005787 2688007716 4032011574 8064023148