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12684562905 = 3572343122149
BaseRepresentation
bin10111101000000111…
…10001000111011001
31012202000020120010010
423310003301013121
5201434222003110
65454402112133
7626223001650
oct136403610731
935660216103
1012684562905
11541a117943
12256004b649
131271c2a631
148848d8197
154e38e4020
hex2f40f11d9

12684562905 has 64 divisors (see below), whose sum is σ = 24766156800. Its totient is φ = 5417508096.

The previous prime is 12684562901. The next prime is 12684563009. The reversal of 12684562905 is 50926548621.

12684562905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12684562905 - 22 = 12684562901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12684562901) 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 63 ways as a sum of consecutive naturals, for example, 42771 + ... + 164919.

It is an arithmetic number, because the mean of its divisors is an integer number (386971200).

Almost surely, 212684562905 is an apocalyptic number.

12684562905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12684562905 is a deficient number, since it is larger than the sum of its proper divisors (12081593895).

12684562905 is a wasteful number, since it uses less digits than its factorization.

12684562905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122230.

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 12684562905 in words is "twelve billion, six hundred eighty-four million, five hundred sixty-two thousand, nine hundred five".

Divisors: 1 3 5 7 15 21 23 35 43 69 105 115 129 161 215 301 345 483 645 805 903 989 1505 2415 2967 4515 4945 6923 14835 20769 34615 103845 122149 366447 610745 855043 1832235 2565129 2809427 4275215 5252407 8428281 12825645 14047135 15757221 19665989 26262035 36766849 42141405 58997967 78786105 98329945 110300547 120805361 183834245 294989835 362416083 551502735 604026805 845637527 1812080415 2536912581 4228187635 12684562905