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12340012784 = 241170113709
BaseRepresentation
bin10110111111000010…
…11010011011110000
31011211222220121012112
423133201122123300
5200233020402114
65400253144452
7614540243441
oct133741323360
934758817175
1012340012784
115262685280
12248478b128
131218731c18
14850c492c8
154c353513e
hex2df85a6f0

12340012784 has 20 divisors (see below), whose sum is σ = 26082300120. Its totient is φ = 5609096640.

The previous prime is 12340012759. The next prime is 12340012837. The reversal of 12340012784 is 48721004321.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12340012784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35056679 + ... + 35057030.

It is an arithmetic number, because the mean of its divisors is an integer number (1304115006).

Almost surely, 212340012784 is an apocalyptic number.

It is an amenable number.

12340012784 is an abundant number, since it is smaller than the sum of its proper divisors (13742287336).

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

12340012784 is a wasteful number, since it uses less digits than its factorization.

12340012784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70113728 (or 70113722 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 12340012784 in words is "twelve billion, three hundred forty million, twelve thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 70113709 140227418 280454836 560909672 771250799 1121819344 1542501598 3085003196 6170006392 12340012784