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2680328812480 = 265111259604811
BaseRepresentation
bin100111000000010000000…
…010111111011111000000
3100111020101201112101101021
4213000100002333133000
5322403303133444410
65411154232315224
7364435021665454
oct47002002773700
910436351471337
102680328812480
119437a2814110
12373570842b14
131659a54a1a87
1493a2b422664
1549ac5119eda
hex270100bf7c0

2680328812480 has 112 divisors (see below), whose sum is σ = 6968305169280. Its totient is φ = 973889254400.

The previous prime is 2680328812477. The next prime is 2680328812489. The reversal of 2680328812480 is 842188230862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680328812489) 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, 4129275 + ... + 4734085.

It is an arithmetic number, because the mean of its divisors is an integer number (62217010440).

Almost surely, 22680328812480 is an apocalyptic number.

2680328812480 is a gapful number since it is divisible by the number (20) 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 2680328812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484152584640).

2680328812480 is an abundant number, since it is smaller than the sum of its proper divisors (4287976356800).

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

2680328812480 is a wasteful number, since it uses less digits than its factorization.

2680328812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606098 (or 606088 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The spelling of 2680328812480 in words is "two trillion, six hundred eighty billion, three hundred twenty-eight million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1259 1760 2518 3520 5036 6295 10072 12590 13849 20144 25180 27698 40288 50360 55396 69245 80576 100720 110792 138490 201440 221584 276980 402880 443168 553960 604811 886336 1107920 1209622 2215840 2419244 3024055 4431680 4838488 6048110 6652921 9676976 12096220 13305842 19353952 24192440 26611684 33264605 38707904 48384880 53223368 66529210 96769760 106446736 133058420 193539520 212893472 266116840 425786944 532233680 761457049 1064467360 1522914098 2128934720 3045828196 3807285245 6091656392 7614570490 8376027539 12183312784 15229140980 16752055078 24366625568 30458281960 33504110156 41880137695 48733251136 60916563920 67008220312 83760275390 121833127840 134016440624 167520550780 243666255680 268032881248 335041101560 536065762496 670082203120 1340164406240 2680328812480