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2065032698496 = 27331719241271
BaseRepresentation
bin11110000011001101100…
…010100101101010000000
321022102012200100020011220
4132003031202211222000
5232313141332322441
64220355105235040
7302123302215105
oct36031542455200
97272180306156
102065032698496
117268591397a9
12294273332a80
1311c96885b461
1471d3b8b6aac
1538ab2495466
hex1e0cd8a5a80

2065032698496 has 128 divisors (see below), whose sum is σ = 5670085017600. Its totient is φ = 665210342400.

The previous prime is 2065032698471. The next prime is 2065032698513. The reversal of 2065032698496 is 6948962305602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 8438341 + ... + 8679611.

It is an arithmetic number, because the mean of its divisors is an integer number (44297539200).

Almost surely, 22065032698496 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 2065032698496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835042508800).

2065032698496 is an abundant number, since it is smaller than the sum of its proper divisors (3605052319104).

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

2065032698496 is a wasteful number, since it uses less digits than its factorization.

2065032698496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242038 (or 242026 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 2065032698496 in words is "two trillion, sixty-five billion, thirty-two million, six hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 719 744 992 1438 1488 1984 2157 2876 2976 3968 4314 5752 5952 8628 11504 11904 17256 22289 23008 34512 44578 46016 66867 69024 89156 92032 133734 138048 178312 241271 267468 276096 356624 482542 534936 713248 723813 965084 1069872 1426496 1447626 1930168 2139744 2852992 2895252 3860336 4279488 5790504 7479401 7720672 8558976 11581008 14958802 15441344 22438203 23162016 29917604 30882688 44876406 46324032 59835208 89752812 92648064 119670416 173473849 179505624 239340832 346947698 359011248 478681664 520421547 693895396 718022496 957363328 1040843094 1387790792 1436044992 2081686188 2775581584 2872089984 4163372376 5377689319 5551163168 8326744752 10755378638 11102326336 16133067957 16653489504 21510757276 22204652672 32266135914 33306979008 43021514552 64532271828 66613958016 86043029104 129064543656 172086058208 258129087312 344172116416 516258174624 688344232832 1032516349248 2065032698496