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12384347808 = 253722632727
BaseRepresentation
bin10111000100010101…
…00010011010100000
31011222002100001102110
423202022202122200
5200330343112213
65404515315320
7615616135200
oct134212423240
934862301373
1012384347808
115285706898
1224975abb40
131224985971
14856aaa400
154c73915c3
hex2e22a26a0

12384347808 has 72 divisors (see below), whose sum is σ = 37816504992. Its totient is φ = 3538383744.

The previous prime is 12384347803. The next prime is 12384347809. The reversal of 12384347808 is 80874348321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12384347803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1311660 + ... + 1321067.

It is an arithmetic number, because the mean of its divisors is an integer number (525229236).

Almost surely, 212384347808 is an apocalyptic number.

It is an amenable number.

12384347808 is an abundant number, since it is smaller than the sum of its proper divisors (25432157184).

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

12384347808 is a wasteful number, since it uses less digits than its factorization.

12384347808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632754 (or 2632739 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 12384347808 in words is "twelve billion, three hundred eighty-four million, three hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 2632727 5265454 7898181 10530908 15796362 18429089 21061816 31592724 36858178 42123632 55287267 63185448 73716356 84247264 110574534 126370896 129003623 147432712 221149068 252741792 258007246 294865424 387010869 442298136 516014492 589730848 774021738 884596272 1032028984 1548043476 1769192544 2064057968 3096086952 4128115936 6192173904 12384347808