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2050503350337 = 34132418080069
BaseRepresentation
bin11101110101101011100…
…001100001100001000001
321021000201002210212110000
4131311223201201201001
5232043412324202322
64205553243030213
7301100245620351
oct35655341414101
97230632725400
102050503350337
11720682759452
1229149950b369
1311b491690120
147135dda8b61
1538511b4d3ac
hex1dd6b861841

2050503350337 has 40 divisors (see below), whose sum is σ = 3312408536360. Its totient is φ = 1256612175360.

The previous prime is 2050503350323. The next prime is 2050503350429. The reversal of 2050503350337 is 7330533050502.

2050503350337 is a `hidden beast` number, since 20 + 50 + 50 + 3 + 3 + 503 + 37 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99855368001 + 1950647982336 = 315999^2 + 1396656^2 .

It is not a de Polignac number, because 2050503350337 - 24 = 2050503350321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2050503350837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3786262 + ... + 4293807.

It is an arithmetic number, because the mean of its divisors is an integer number (82810213409).

Almost surely, 22050503350337 is an apocalyptic number.

2050503350337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2050503350337 is a deficient number, since it is larger than the sum of its proper divisors (1261905186023).

2050503350337 is a wasteful number, since it uses less digits than its factorization.

2050503350337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080335 (or 8080326 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 36.

The spelling of 2050503350337 in words is "two trillion, fifty billion, five hundred three million, three hundred fifty thousand, three hundred thirty-seven".

Divisors: 1 3 9 13 27 39 81 117 241 351 723 1053 2169 3133 6507 9399 19521 28197 84591 253773 8080069 24240207 72720621 105040897 218161863 315122691 654485589 945368073 1947296629 2836104219 5841889887 8508312657 17525669661 25314856177 52577008983 75944568531 157731026949 227833705593 683501116779 2050503350337