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8725216008 = 2336114334159
BaseRepresentation
bin10000010000001000…
…00011101100001000
3211112002000220020110
420020010003230020
5120332123403013
64001443354320
7426135053355
oct101004035410
924462026213
108725216008
11377817aa23
1218360829a0
13a90870b12
145cab2762c
15360eee2c3
hex208103b08

8725216008 has 64 divisors (see below), whose sum is σ = 22191436800. Its totient is φ = 2858042880.

The previous prime is 8725215923. The next prime is 8725216009. The reversal of 8725216008 is 8006125278.

It is a super-2 number, since 2×87252160082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8725216009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095833 + ... + 2099991.

It is an arithmetic number, because the mean of its divisors is an integer number (346741200).

Almost surely, 28725216008 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 8725216008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11095718400).

8725216008 is an abundant number, since it is smaller than the sum of its proper divisors (13466220792).

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

8725216008 is a wasteful number, since it uses less digits than its factorization.

8725216008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 8725216008 is about 93408.8647185052. The cubic root of 8725216008 is about 2058.6952500675.

The spelling of 8725216008 in words is "eight billion, seven hundred twenty-five million, two hundred sixteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1433 1464 2866 4159 4299 5732 8318 8598 11464 12477 16636 17196 24954 33272 34392 49908 87413 99816 174826 253699 262239 349652 507398 524478 699304 761097 1014796 1048956 1522194 2029592 2097912 3044388 5959847 6088776 11919694 17879541 23839388 35759082 47678776 71518164 143036328 363550667 727101334 1090652001 1454202668 2181304002 2908405336 4362608004 8725216008