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12005509004 = 22173115433691
BaseRepresentation
bin10110010111001010…
…11000011110001100
31010222200111001021122
423023211120132030
5144041402242004
65303143420112
7603336066656
oct131345303614
933880431248
1012005509004
115100884675
1223b0754638
1311943431a8
1481c6536d6
154a3eaccbe
hex2cb95878c

12005509004 has 48 divisors (see below), whose sum is σ = 22984206336. Its totient is φ = 5462380800.

The previous prime is 12005508979. The next prime is 12005509007. The reversal of 12005509004 is 40090550021.

12005509004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12005509007) 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 15 ways as a sum of consecutive naturals, for example, 3250799 + ... + 3254489.

It is an arithmetic number, because the mean of its divisors is an integer number (478837632).

Almost surely, 212005509004 is an apocalyptic number.

It is an amenable number.

12005509004 is a deficient number, since it is larger than the sum of its proper divisors (10978697332).

12005509004 is a wasteful number, since it uses less digits than its factorization.

12005509004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 12005509004 in words is "twelve billion, five million, five hundred nine thousand, four".

Divisors: 1 2 4 17 31 34 62 68 124 527 1054 1543 2108 3086 3691 6172 7382 14764 26231 47833 52462 62747 95666 104924 114421 125494 191332 228842 250988 457684 813161 1626322 1945157 3252644 3890314 5695213 7780628 11390426 22780852 96818621 176551603 193637242 353103206 387274484 706206412 3001377251 6002754502 12005509004