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12386322564 = 22371113405111
BaseRepresentation
bin10111000100100100…
…00100100010000100
31011222020001101021120
423202102010202010
5200331344310224
65405025513540
7615642001410
oct134222044204
934866041246
1012386322564
115286835520
1224981a28b0
1312251c7765
14857061d40
154c7631779
hex2e2484884

12386322564 has 48 divisors (see below), whose sum is σ = 36032941056. Its totient is φ = 3217226400.

The previous prime is 12386322539. The next prime is 12386322581. The reversal of 12386322564 is 46522368321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6701632 + ... + 6703479.

It is an arithmetic number, because the mean of its divisors is an integer number (750686272).

Almost surely, 212386322564 is an apocalyptic number.

12386322564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12386322564 is an abundant number, since it is smaller than the sum of its proper divisors (23646618492).

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

12386322564 is a wasteful number, since it uses less digits than its factorization.

12386322564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13405136 (or 13405134 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 12386322564 in words is "twelve billion, three hundred eighty-six million, three hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 13405111 26810222 40215333 53620444 80430666 93835777 147456221 160861332 187671554 281507331 294912442 375343108 442368663 563014662 589824884 884737326 1032193547 1126029324 1769474652 2064387094 3096580641 4128774188 6193161282 12386322564