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12663442460 = 2251727927733
BaseRepresentation
bin10111100101100110…
…01100110000011100
31012200112111112022102
423302303030300130
5201413320124320
65452325304232
7625545325214
oct136263146034
935615445272
1012663442460
115409201829
122554b65078
13126a744226
14881b9b244
154e1b21175
hex2f2cccc1c

12663442460 has 72 divisors (see below), whose sum is σ = 28608175680. Its totient is φ = 4706896896.

The previous prime is 12663442417. The next prime is 12663442471. The reversal of 12663442460 is 6424436621.

12663442460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 442754 + ... + 470486.

Almost surely, 212663442460 is an apocalyptic number.

12663442460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12663442460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14304087840).

12663442460 is an abundant number, since it is smaller than the sum of its proper divisors (15944733220).

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

12663442460 is a wasteful number, since it uses less digits than its factorization.

12663442460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27855 (or 27836 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 12663442460 in words is "twelve billion, six hundred sixty-three million, four hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 289 316 340 395 578 790 1156 1343 1445 1580 2686 2890 5372 5780 6715 13430 22831 26860 27733 45662 55466 91324 110932 114155 138665 228310 277330 456620 471461 554660 942922 1885844 2190907 2357305 4381814 4714610 8014837 8763628 9429220 10954535 16029674 21909070 32059348 37245419 40074185 43818140 74490838 80148370 148981676 160296740 186227095 372454190 633172123 744908380 1266344246 2532688492 3165860615 6331721230 12663442460