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9982359072 = 253274951567
BaseRepresentation
bin10010100101111111…
…01011011000100000
3221202200120101022200
421102333223120200
5130420440442242
64330312333200
7502241436450
oct112277533040
927680511280
109982359072
114262866134
121b270a4200
13c31151a5a
146a9a8dd60
153d657604c
hex252feb620

9982359072 has 72 divisors (see below), whose sum is σ = 32442673536. Its totient is φ = 2852102016.

The previous prime is 9982359071. The next prime is 9982359077. The reversal of 9982359072 is 2709532899.

9982359072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9982359071) 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, 2473768 + ... + 2477799.

It is an arithmetic number, because the mean of its divisors is an integer number (450592688).

Almost surely, 29982359072 is an apocalyptic number.

It is an amenable number.

9982359072 is an abundant number, since it is smaller than the sum of its proper divisors (22460314464).

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

9982359072 is a wasteful number, since it uses less digits than its factorization.

9982359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951590 (or 4951579 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9982359072 is about 99911.7564253577. The cubic root of 9982359072 is about 2153.1670700981.

The spelling of 9982359072 in words is "nine billion, nine hundred eighty-two million, three hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4951567 9903134 14854701 19806268 29709402 34660969 39612536 44564103 59418804 69321938 79225072 89128206 103982907 118837608 138643876 158450144 178256412 207965814 237675216 277287752 311948721 356512824 415931628 475350432 554575504 623897442 713025648 831863256 1109151008 1247794884 1426051296 1663726512 2495589768 3327453024 4991179536 9982359072