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12626451342 = 2333179307311
BaseRepresentation
bin10111100001001100…
…00101101110001110
31012120221220012001000
423300212011232032
5201324332420332
65444524401130
7624616031331
oct136046055616
935527805030
1012626451342
11539a33685a
1225446a61a6
131262b920ab
1487accc618
154dd765b7c
hex2f0985b8e

12626451342 has 128 divisors (see below), whose sum is σ = 29520691200. Its totient is φ = 3995503200.

The previous prime is 12626451287. The next prime is 12626451359. The reversal of 12626451342 is 24315462621.

12626451342 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 645 + 1 + 3 + 4 + 2 = 666.

12626451342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12626451297 and 12626451306.

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 63 ways as a sum of consecutive naturals, for example, 40599367 + ... + 40599677.

It is an arithmetic number, because the mean of its divisors is an integer number (230630400).

Almost surely, 212626451342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12626451342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760345600).

12626451342 is an abundant number, since it is smaller than the sum of its proper divisors (16894239858).

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

12626451342 is a wasteful number, since it uses less digits than its factorization.

12626451342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 12626451342 in words is "twelve billion, six hundred twenty-six million, four hundred fifty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 79 93 158 186 237 279 307 311 474 558 614 622 711 837 921 933 1422 1674 1842 1866 2133 2449 2763 2799 4266 4898 5526 5598 7347 8289 8397 9517 9641 14694 16578 16794 19034 19282 22041 24253 24569 28551 28923 44082 48506 49138 57102 57846 66123 72759 73707 85653 86769 95477 132246 145518 147414 171306 173538 190954 218277 221121 256959 260307 286431 436554 442242 513918 520614 572862 654831 663363 751843 761639 859293 1309662 1326726 1503686 1523278 1718586 2255529 2284917 2577879 2959787 4511058 4569834 5155758 5919574 6766587 6854751 7542683 8879361 13533174 13709502 15085366 17758722 20299761 20564253 22628049 26638083 40599522 41128506 45256098 53276166 67884147 79914249 135768294 159828498 203652441 233823173 407304882 467646346 701469519 1402939038 2104408557 4208817114 6313225671 12626451342