Search a number
-
+
6486467212808 = 2311210927512
BaseRepresentation
bin101111001100011111110…
…0100101111011000001000
3211222002201001102110001022
41132120333210233120020
51322233241101302213
621443501503412012
71236426463411502
oct136307744573010
924862631373038
106486467212808
112080993704600
128891548b4008
1338089591428b
14185d379d8d72
15b3adb9c6308
hex5e63f92f608

6486467212808 has 108 divisors (see below), whose sum is σ = 13510046679885. Its totient is φ = 2917454760000.

The previous prime is 6486467212783. The next prime is 6486467212847. The reversal of 6486467212808 is 8082127646846.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6224136811684 + 262330401124 = 2494822^2 + 512182^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1800898.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8637106433 + ... + 8637107183.

Almost surely, 26486467212808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6486467212808

6486467212808 is an abundant number, since it is smaller than the sum of its proper divisors (7023579467077).

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

6486467212808 is an equidigital number, since it uses as much as digits as its factorization.

6486467212808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 62.

The spelling of 6486467212808 in words is "six trillion, four hundred eighty-six billion, four hundred sixty-seven million, two hundred twelve thousand, eight hundred eight".

Divisors: 1 2 4 8 11 22 44 88 109 121 218 242 436 484 751 872 968 1199 1502 2398 3004 4796 6008 8261 9592 11881 13189 16522 23762 26378 33044 47524 52756 66088 81859 90871 95048 105512 130691 163718 181742 261382 327436 363484 522764 564001 654872 726968 900449 1045528 1128002 1437601 1800898 2256004 2875202 3601796 4512008 5750404 6204011 7203592 8922631 9904939 11500808 12408022 17845262 19809878 24816044 35690524 39619756 49632088 61476109 68244121 71381048 79239512 98148941 122952218 136488242 196297882 245904436 272976484 392595764 491808872 545952968 676237199 785191528 1079638351 1352474398 2159276702 2704948796 4318553404 5409897592 6700895881 7438609189 8637106808 13401791762 14877218378 26803583524 29754436756 53607167048 59508873512 73709854691 147419709382 294839418764 589678837528 810808401601 1621616803202 3243233606404 6486467212808