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2065267814399 = 192997336111497
BaseRepresentation
bin11110000011011011100…
…011011110111111111111
321022102211001202100120022
4132003123203132333333
5232314132030030044
64220434304442355
7302132155526156
oct36033343367777
97272731670508
102065267814399
11726969926869
1229431a0193bb
1311c9a548c1aa
1471d60bda59d
1538ac7e393ee
hex1e0db8defff

2065267814399 has 32 divisors (see below), whose sum is σ = 2272989028800. Its totient is φ = 1868907479040.

The previous prime is 2065267814383. The next prime is 2065267814411. The reversal of 2065267814399 is 9934187625602.

It is a cyclic number.

It is not a de Polignac number, because 2065267814399 - 24 = 2065267814383 is a prime.

It is a super-2 number, since 2×20652678143992 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065267814329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179629619 + ... + 179641115.

It is an arithmetic number, because the mean of its divisors is an integer number (71030907150).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2065267814399 = 4130535628798, but 3⋅2065267814399 = 6195803443197 is not.

Almost surely, 22065267814399 is an apocalyptic number.

2065267814399 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2065267814399 is a deficient number, since it is larger than the sum of its proper divisors (207721214401).

2065267814399 is a wasteful number, since it uses less digits than its factorization.

2065267814399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003.

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 2065267814399 in words is "two trillion, sixty-five billion, two hundred sixty-seven million, eight hundred fourteen thousand, three hundred ninety-nine".

Divisors: 1 19 29 97 551 1843 2813 3361 11497 53447 63859 97469 218443 326017 333413 1115209 1851911 6194323 6334847 9454493 21188971 32341061 38641417 179635367 614480159 734186923 1120601093 3748217449 21291420767 71216131531 108698306021 2065267814399