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9894664989 = 32111747671867
BaseRepresentation
bin10010011011100010…
…01001101100011101
3221112120120001122200
421031301021230131
5130231013234424
64313501002113
7500125156536
oct111561115435
927476501580
109894664989
11421830a290
121b01853339
13c18c29571
1469c18368d
153cda028c9
hex24dc49b1d

9894664989 has 96 divisors (see below), whose sum is σ = 17120802816. Its totient is φ = 5438568960.

The previous prime is 9894664963. The next prime is 9894664993.

It is a happy number.

9894664989 is a `hidden beast` number, since 9 + 89 + 466 + 4 + 9 + 89 = 666.

9894664989 is nontrivially palindromic in base 10.

9894664989 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 9894664989 - 25 = 9894664957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9894164989) 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 95 ways as a sum of consecutive naturals, for example, 5298834 + ... + 5300700.

It is an arithmetic number, because the mean of its divisors is an integer number (178341696).

Almost surely, 29894664989 is an apocalyptic number.

9894664989 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9894664989 is a deficient number, since it is larger than the sum of its proper divisors (7226137827).

9894664989 is a wasteful number, since it uses less digits than its factorization.

9894664989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2012 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The square root of 9894664989 is about 99471.9306588547. The cubic root of 9894664989 is about 2146.8433929381.

The spelling of 9894664989 in words is "nine billion, eight hundred ninety-four million, six hundred sixty-four thousand, nine hundred eighty-nine".

Divisors: 1 3 9 11 17 33 47 51 67 99 141 153 187 201 423 517 561 603 737 799 1139 1551 1683 1867 2211 2397 3149 3417 4653 5601 6633 7191 8789 9447 10251 12529 16803 20537 26367 28341 31739 34639 37587 53533 61611 79101 87749 95217 103917 112761 125089 160599 184833 263247 285651 311751 349129 375267 481797 588863 789741 965239 1047387 1125801 1375979 1491733 1766589 2126513 2895717 3142161 4127937 4475199 5299767 5879183 6379539 8687151 12383811 13425597 16409063 17637549 19138617 23391643 49227189 52912647 64671013 70174929 99946111 147681567 194013039 210524787 299838333 582039117 899514999 1099407221 3298221663 9894664989