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2082074398425 = 3252719151460771
BaseRepresentation
bin11110010011000101010…
…011100000111011011001
321101001012100022021122100
4132103011103200323121
5233103042021222200
64232254120114013
7303265513244340
oct36230523407331
97331170267570
102082074398425
1173300379a12a
1229762a605909
13121453392078
1472ab6d2cb57
153925d657d00
hex1e4c54e0ed9

2082074398425 has 144 divisors (see below), whose sum is σ = 4516007941120. Its totient is φ = 895736880000.

The previous prime is 2082074398321. The next prime is 2082074398427. The reversal of 2082074398425 is 5248934702802.

2082074398425 is a `hidden beast` number, since 2 + 0 + 8 + 207 + 4 + 3 + 9 + 8 + 425 = 666.

It is not a de Polignac number, because 2082074398425 - 28 = 2082074398169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2082074398427) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4288290 + ... + 4749060.

Almost surely, 22082074398425 is an apocalyptic number.

2082074398425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2082074398425 is an abundant number, since it is smaller than the sum of its proper divisors (2433933542695).

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

2082074398425 is a wasteful number, since it uses less digits than its factorization.

2082074398425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460964 (or 460956 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2082074398425 in words is "two trillion, eighty-two billion, seventy-four million, three hundred ninety-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 151 171 175 225 285 315 399 453 475 525 665 755 855 1057 1197 1359 1425 1575 1995 2265 2869 3171 3325 3775 4275 5285 5985 6795 8607 9513 9975 11325 14345 15855 20083 25821 26425 29925 33975 43035 47565 60249 71725 79275 100415 129105 180747 215175 237825 301245 460771 502075 645525 903735 1382313 1506225 2303855 3225397 4146939 4518675 6911565 8754649 9676191 11519275 16126985 20734695 26263947 29028573 34557825 43773245 48380955 61282543 69576421 78791841 80634925 103673475 131319735 145142865 183847629 208729263 218866225 241904775 306412715 347882105 393959205 487034947 551542887 626187789 656598675 725714325 919238145 1043646315 1321951999 1461104841 1532063575 1739410525 1969796025 2435174735 2757714435 3130938945 3965855997 4383314523 4596190725 5218231575 6609759995 7305524205 9253663993 11897567991 12175873675 13788572175 15654694725 19829279985 21916572615 27760991979 33048799975 36527621025 46268319965 59487839955 83282975937 99146399925 109582863075 138804959895 231341599825 297439199775 416414879685 694024799475 2082074398425