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9788085201 = 319206982997
BaseRepresentation
bin10010001110110101…
…00101001111010001
3221021011000020200010
421013122211033101
5130021222211301
64255132345133
7464362231356
oct110732451721
927234006603
109788085201
114173134314
121a920151a9
13bccb20bbb
1468bd5c62d
153c449d5d6
hex2476a53d1

9788085201 has 16 divisors (see below), whose sum is σ = 13744468800. Its totient is φ = 6178886208.

The previous prime is 9788085187. The next prime is 9788085283. The reversal of 9788085201 is 1025808879.

9788085201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9788085201 - 211 = 9788083153 is a prime.

It is a super-2 number, since 2×97880852012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9788085301) 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 15 ways as a sum of consecutive naturals, for example, 76435 + ... + 159431.

It is an arithmetic number, because the mean of its divisors is an integer number (859029300).

Almost surely, 29788085201 is an apocalyptic number.

It is an amenable number.

9788085201 is a deficient number, since it is larger than the sum of its proper divisors (3956383599).

9788085201 is a wasteful number, since it uses less digits than its factorization.

9788085201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85088.

The product of its (nonzero) digits is 322560, while the sum is 48.

The square root of 9788085201 is about 98934.7522410604. The cubic root of 9788085201 is about 2139.1073518883.

The spelling of 9788085201 in words is "nine billion, seven hundred eighty-eight million, eighty-five thousand, two hundred one".

Divisors: 1 3 19 57 2069 6207 39311 82997 117933 248991 1576943 4730829 171720793 515162379 3262695067 9788085201