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3231488664 = 2332617310079
BaseRepresentation
bin1100000010011100…
…1001101010011000
322100012121122002100
43000213021222120
523104230114124
61252354003400
7143036125515
oct30047115230
98305548070
103231488664
111409100298
12762276560
133c6645291
1422926430c
1513da6d1c9
hexc09c9a98

3231488664 has 96 divisors (see below), whose sum is σ = 9018172800. Its totient is φ = 1044887040.

The previous prime is 3231488651. The next prime is 3231488683. The reversal of 3231488664 is 4668841323.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 315577 + ... + 325655.

It is an arithmetic number, because the mean of its divisors is an integer number (93939300).

Almost surely, 23231488664 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 3231488664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509086400).

3231488664 is an abundant number, since it is smaller than the sum of its proper divisors (5786684136).

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

3231488664 is a wasteful number, since it uses less digits than its factorization.

3231488664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225 (or 10218 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3231488664 is about 56846.1842518915. The cubic root of 3231488664 is about 1478.4303824328.

The spelling of 3231488664 in words is "three billion, two hundred thirty-one million, four hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 73 122 146 183 219 244 292 366 438 488 549 584 657 732 876 1098 1314 1464 1752 2196 2628 4392 4453 5256 8906 10079 13359 17812 20158 26718 30237 35624 40077 40316 53436 60474 80154 80632 90711 106872 120948 160308 181422 241896 320616 362844 614819 725688 735767 1229638 1471534 1844457 2207301 2459276 2943068 3688914 4414602 4918552 5533371 5886136 6621903 7377828 8829204 11066742 13243806 14755656 17658408 22133484 26487612 44266968 44881787 52975224 89763574 134645361 179527148 269290722 359054296 403936083 538581444 807872166 1077162888 1615744332 3231488664