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4226040064 = 281722392
BaseRepresentation
bin1111101111100100…
…0100000100000000
3101220112001002010101
43323321010010000
532123331240224
61535202412144
7206503514341
oct37371040400
911815032111
104226040064
1118795424a4
1299b361054
135246c542c
142c13940c8
1519b025044
hexfbe44100

4226040064 has 81 divisors (see below), whose sum is σ = 8998621597. Its totient is φ = 1980403712.

The previous prime is 4226040053. The next prime is 4226040067. The reversal of 4226040064 is 4600406224.

The square root of 4226040064 is 65008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3290169600 + 935870464 = 57360^2 + 30592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4226040067) 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 8 ways as a sum of consecutive naturals, for example, 17682057 + ... + 17682295.

Almost surely, 24226040064 is an apocalyptic number.

4226040064 is the 65008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226040064

4226040064 is an abundant number, since it is smaller than the sum of its proper divisors (4772581533).

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

4226040064 is an frugal number, since it uses more digits than its factorization.

4226040064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The cubic root of 4226040064 is about 1616.7562058933.

Multiplying 4226040064 by its product of nonzero digits (9216), we get a square (38947185229824 = 62407682).

Adding to 4226040064 its reverse (4600406224), we get a palindrome (8826446288).

The spelling of 4226040064 in words is "four billion, two hundred twenty-six million, forty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 239 256 272 289 478 544 578 956 1088 1156 1912 2176 2312 3824 4063 4352 4624 7648 8126 9248 15296 16252 18496 30592 32504 36992 57121 61184 65008 69071 73984 114242 130016 138142 228484 260032 276284 456968 520064 552568 913936 971057 1040128 1105136 1827872 1942114 2210272 3655744 3884228 4420544 7311488 7768456 8841088 14622976 15536912 16507969 17682176 31073824 33015938 62147648 66031876 124295296 132063752 248590592 264127504 528255008 1056510016 2113020032 4226040064