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2993933106 = 232166329617
BaseRepresentation
bin1011001001110011…
…1100101100110010
321201122121120010100
42302130330230302
522112421324411
61213030213230
7134123003643
oct26234745462
97648546110
102993933106
1112a6aa728a
126b67b4216
1338936bc68
142058a76ca
15127c96456
hexb273cb32

2993933106 has 12 divisors (see below), whose sum is σ = 6486855102. Its totient is φ = 997977696.

The previous prime is 2993933101. The next prime is 2993933143. The reversal of 2993933106 is 6013393992.

It can be written as a sum of positive squares in only one way, i.e., 1532017881 + 1461915225 = 39141^2 + 38235^2 .

It is not an unprimeable number, because it can be changed into a prime (2993933101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83164791 + ... + 83164826.

Almost surely, 22993933106 is an apocalyptic number.

2993933106 is an abundant number, since it is smaller than the sum of its proper divisors (3492921996).

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

2993933106 is a wasteful number, since it uses less digits than its factorization.

2993933106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166329625 (or 166329622 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 2993933106 is about 54716.8448103507. The cubic root of 2993933106 is about 1441.2766947238.

The spelling of 2993933106 in words is "two billion, nine hundred ninety-three million, nine hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 166329617 332659234 498988851 997977702 1496966553 2993933106