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8064222048 = 253228000771
BaseRepresentation
bin1111000001010101…
…00100001101100000
3202211000020220222200
413200222210031200
5113003420101143
63412112133200
7403560520311
oct74052441540
922730226880
108064222048
113469052423
121690837200
139b693aa2c
14567024608
15322e841d3
hex1e0aa4360

8064222048 has 36 divisors (see below), whose sum is σ = 22932632268. Its totient is φ = 2688073920.

The previous prime is 8064222043. The next prime is 8064222059. The reversal of 8064222048 is 8402224608.

It is a happy number.

8064222048 is a `hidden beast` number, since 8 + 0 + 642 + 2 + 2 + 0 + 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064222043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14000098 + ... + 14000673.

It is an arithmetic number, because the mean of its divisors is an integer number (637017563).

Almost surely, 28064222048 is an apocalyptic number.

It is an amenable number.

8064222048 is an abundant number, since it is smaller than the sum of its proper divisors (14868410220).

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

8064222048 is a wasteful number, since it uses less digits than its factorization.

8064222048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28000787 (or 28000776 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8064222048 is about 89801.0136245688. The cubic root of 8064222048 is about 2005.3375797822.

The spelling of 8064222048 in words is "eight billion, sixty-four million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28000771 56001542 84002313 112003084 168004626 224006168 252006939 336009252 448012336 504013878 672018504 896024672 1008027756 1344037008 2016055512 2688074016 4032111024 8064222048