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2993126829 = 372111997423
BaseRepresentation
bin1011001001100111…
…0111110110101101
321201121002121010020
42302121313312231
522112220024304
61213001032353
7134113105200
oct26231676655
97647077106
102993126829
1112a65a6540
126b64856b9
13389148c84
14205737937
15127b875d9
hexb2677dad

2993126829 has 48 divisors (see below), whose sum is σ = 5331041280. Its totient is φ = 1473020640.

The previous prime is 2993126809. The next prime is 2993126831. The reversal of 2993126829 is 9286213992.

It is a happy number.

It is not a de Polignac number, because 2993126829 - 27 = 2993126701 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2993126809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17989 + ... + 79434.

It is an arithmetic number, because the mean of its divisors is an integer number (111063360).

Almost surely, 22993126829 is an apocalyptic number.

It is an amenable number.

2993126829 is a deficient number, since it is larger than the sum of its proper divisors (2337914451).

2993126829 is a wasteful number, since it uses less digits than its factorization.

2993126829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97470 (or 97463 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 2993126829 is about 54709.4765922687. The cubic root of 2993126829 is about 1441.1473027678.

The spelling of 2993126829 in words is "two billion, nine hundred ninety-three million, one hundred twenty-six thousand, eight hundred twenty-nine".

Divisors: 1 3 7 11 19 21 33 49 57 77 133 147 209 231 399 539 627 931 1463 1617 2793 4389 10241 30723 97423 292269 681961 1071653 1851037 2045883 3214959 4773727 5553111 7501571 12957259 14321181 20361407 22504713 38871777 52510997 61084221 90700813 142529849 157532991 272102439 427589547 997708943 2993126829