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6492298496112 = 24331131317192689
BaseRepresentation
bin101111001111001101100…
…1001010100100001110000
3211222122202110000022221000
41132132123021110201300
51322332211403333422
621450304252202000
71240024131454452
oct136363311244160
924878673008830
106492298496112
11208340627a000
1288a301769300
133812b4a59b80
1418632c24a2d2
15b3d2d8d3cac
hex5e79b254870

6492298496112 has 1280 divisors, whose sum is σ = 24611924736000. Its totient is φ = 1618642206720.

The previous prime is 6492298496083. The next prime is 6492298496171. The reversal of 6492298496112 is 2116948922946.

6492298496112 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 2 + 9 + 8 + 4 + 9 + 611 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6492298496112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2414390064 + ... + 2414392752.

It is an arithmetic number, because the mean of its divisors is an integer number (19228066200).

Almost surely, 26492298496112 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 6492298496112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12305962368000).

6492298496112 is an abundant number, since it is smaller than the sum of its proper divisors (18119626239888).

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

6492298496112 is a wasteful number, since it uses less digits than its factorization.

6492298496112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2754 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 6492298496112 in words is "six trillion, four hundred ninety-two billion, two hundred ninety-eight million, four hundred ninety-six thousand, one hundred twelve".