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12645017112 = 23371317340579
BaseRepresentation
bin10111100011011001…
…11010011000011000
31012122020211102111010
423301230322120120
5201344111021422
65450430333520
7625232605050
oct136154723030
935566742433
1012645017112
1153a9867572
12254a95a2a0
131266992760
1487d562560
154e01d1b0c
hex2f1b3a618

12645017112 has 128 divisors (see below), whose sum is σ = 41196556800. Its totient is φ = 3138766848.

The previous prime is 12645017111. The next prime is 12645017159. The reversal of 12645017112 is 21171054621.

12645017112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126450171123 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12645017112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12645017111) 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 31 ways as a sum of consecutive naturals, for example, 133162 + ... + 207417.

It is an arithmetic number, because the mean of its divisors is an integer number (321848100).

Almost surely, 212645017112 is an apocalyptic number.

12645017112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12645017112 is an abundant number, since it is smaller than the sum of its proper divisors (28551539688).

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

12645017112 is a wasteful number, since it uses less digits than its factorization.

12645017112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340625 (or 340621 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 12645017112 in words is "twelve billion, six hundred forty-five million, seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3094 4641 5304 6188 9282 12376 18564 37128 340579 681158 1021737 1362316 2043474 2384053 2724632 4086948 4427527 4768106 5789843 7152159 8173896 8855054 9536212 11579686 13282581 14304318 17369529 17710108 19072424 23159372 26565162 28608636 30992689 34739058 35420216 40528901 46318744 53130324 57217272 61985378 69478116 75267959 81057802 92978067 106260648 121586703 123970756 138956232 150535918 162115604 185956134 225803877 243173406 247941512 301071836 324231208 371912268 451607754 486346812 526875713 602143672 743824536 903215508 972693624 1053751426 1580627139 1806431016 2107502852 3161254278 4215005704 6322508556 12645017112