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2580264483328 = 29716330714387
BaseRepresentation
bin100101100011000011101…
…111110111101000000000
3100010200010001211210010101
4211203003233313220000
5314233340201431303
65253205050412144
7354263234142430
oct45430357675000
910120101753111
102580264483328
11905314040624
123580a5431054
1315941955aa5c
148cc57a182c0
15471ba424d1d
hex258c3bf7a00

2580264483328 has 160 divisors (see below), whose sum is σ = 5947858312704. Its totient is φ = 1095387328512.

The previous prime is 2580264483317. The next prime is 2580264483331. The reversal of 2580264483328 is 8233844620852.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179339751 + ... + 179354137.

Almost surely, 22580264483328 is an apocalyptic number.

2580264483328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580264483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973929156352).

2580264483328 is an abundant number, since it is smaller than the sum of its proper divisors (3367593829376).

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

2580264483328 is a wasteful number, since it uses less digits than its factorization.

2580264483328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14882 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 55.

The spelling of 2580264483328 in words is "two trillion, five hundred eighty billion, two hundred sixty-four million, four hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 307 326 448 512 614 652 896 1141 1228 1304 1792 2149 2282 2456 2608 3584 4298 4564 4912 5216 8596 9128 9824 10432 14387 17192 18256 19648 20864 28774 34384 36512 39296 41728 50041 57548 68768 73024 78592 83456 100082 100709 115096 137536 146048 157184 200164 201418 230192 275072 292096 350287 400328 402836 460384 550144 584192 700574 800656 805672 920768 1100288 1401148 1601312 1611344 1841536 2345081 2802296 3202624 3222688 3683072 4416809 4690162 5604592 6405248 6445376 7366144 8833618 9380324 11209184 12810496 12890752 16415567 17667236 18760648 22418368 25620992 25781504 30917663 32831134 35334472 37521296 44836736 51563008 61835326 65662268 70668944 75042592 89673472 123670652 131324536 141337888 150085184 179346944 247341304 262649072 282675776 300170368 494682608 525298144 565351552 600340736 719939867 989365216 1050596288 1130703104 1200681472 1439879734 1978730432 2101192576 2261406208 2879759468 3957460864 4202385152 5039579069 5759518936 7914921728 8404770304 10079158138 11519037872 15829843456 20158316276 23038075744 40316632552 46076151488 80633265104 92152302976 161266530208 184304605952 322533060416 368609211904 645066120832 1290132241664 2580264483328