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2091288096 = 253216094513
BaseRepresentation
bin111110010100110…
…1000011000100000
312101202010102221200
41330221220120200
513240332204341
6543303321200
7102552440562
oct17451503040
95352112850
102091288096
11983528777
124a4450200
1327435a6a1
1415ba5d332
15c38e5db6
hex7ca68620

2091288096 has 72 divisors (see below), whose sum is σ = 5952115260. Its totient is φ = 696508416.

The previous prime is 2091288083. The next prime is 2091288097. The reversal of 2091288096 is 6908821902.

It can be written as a sum of positive squares in 2 ways, for example, as 2082644496 + 8643600 = 45636^2 + 2940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2091288097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461136 + ... + 465648.

Almost surely, 22091288096 is an apocalyptic number.

It is an amenable number.

2091288096 is an abundant number, since it is smaller than the sum of its proper divisors (3860827164).

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

2091288096 is a wasteful number, since it uses less digits than its factorization.

2091288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2091288096 is about 45730.6034948152. The cubic root of 2091288096 is about 1278.8058720066.

The spelling of 2091288096 in words is "two billion, ninety-one million, two hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1609 3218 4513 4827 6436 9026 9654 12872 13539 14481 18052 19308 25744 27078 28962 36104 38616 40617 51488 54156 57924 72208 77232 81234 108312 115848 144416 154464 162468 216624 231696 324936 433248 463392 649872 1299744 7261417 14522834 21784251 29045668 43568502 58091336 65352753 87137004 116182672 130705506 174274008 232365344 261411012 348548016 522822024 697096032 1045644048 2091288096