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12423182784 = 263107604711
BaseRepresentation
bin10111001000111101…
…01011100111000000
31012001210102001222220
423210132223213000
5200420313322114
65412423531040
7616600211535
oct134436534700
935053361886
1012423182784
1152a5621111
1224a85b9a80
13122ca3213c
1485bcd8d8c
154ca9b30a9
hex2e47ab9c0

12423182784 has 56 divisors (see below), whose sum is σ = 33176919168. Its totient is φ = 4102352640.

The previous prime is 12423182731. The next prime is 12423182831. The reversal of 12423182784 is 48728132421.

12423182784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 281812 + ... + 322899.

Almost surely, 212423182784 is an apocalyptic number.

It is an amenable number.

12423182784 is an abundant number, since it is smaller than the sum of its proper divisors (20753736384).

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

12423182784 is a wasteful number, since it uses less digits than its factorization.

12423182784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604833 (or 604823 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

It can be divided in two parts, 1242 and 3182784, that added together give a triangular number (3184026 = T2523).

The spelling of 12423182784 in words is "twelve billion, four hundred twenty-three million, one hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6848 10272 20544 604711 1209422 1814133 2418844 3628266 4837688 7256532 9675376 14513064 19350752 29026128 38701504 58052256 64704077 116104512 129408154 194112231 258816308 388224462 517632616 776448924 1035265232 1552897848 2070530464 3105795696 4141060928 6211591392 12423182784