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6664480992 = 25321312371439
BaseRepresentation
bin1100011010011101…
…11110100011100000
3122012110101201020100
412031032332203200
5102122101342432
63021150542400
7324103103511
oct61516764340
918173351210
106664480992
11290aa20234
12135bb07a00
138229500a0
1447317ca08
1529014107c
hex18d3be8e0

6664480992 has 144 divisors (see below), whose sum is σ = 20440667520. Its totient is φ = 2047527936.

The previous prime is 6664480957. The next prime is 6664480993. The reversal of 6664480992 is 2990844666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6664480993) 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 23 ways as a sum of consecutive naturals, for example, 4630609 + ... + 4632047.

It is an arithmetic number, because the mean of its divisors is an integer number (141949080).

Almost surely, 26664480992 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 6664480992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220333760).

6664480992 is an abundant number, since it is smaller than the sum of its proper divisors (13776186528).

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

6664480992 is a wasteful number, since it uses less digits than its factorization.

6664480992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 6664480992 is about 81636.2725263715. The cubic root of 6664480992 is about 1881.8663554196.

The spelling of 6664480992 in words is "six billion, six hundred sixty-four million, four hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1237 1248 1439 1872 2474 2878 3711 3744 4317 4948 5756 7422 8634 9896 11133 11512 12951 14844 16081 17268 18707 19792 22266 23024 25902 29688 32162 34536 37414 39584 44532 46048 48243 51804 56121 59376 64324 69072 74828 89064 96486 103608 112242 118752 128648 138144 144729 149656 168363 178128 192972 207216 224484 257296 289458 299312 336726 356256 385944 414432 448968 514592 578916 598624 673452 771888 897936 1157832 1346904 1543776 1780043 1795872 2315664 2693808 3560086 4631328 5340129 5387616 7120172 10680258 14240344 16020387 21360516 23140559 28480688 32040774 42721032 46281118 56961376 64081548 69421677 85442064 92562236 128163096 138843354 170884128 185124472 208265031 256326192 277686708 370248944 416530062 512652384 555373416 740497888 833060124 1110746832 1666120248 2221493664 3332240496 6664480992