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28272291840000 = 2153554131923
BaseRepresentation
bin1100110110110101001111…
…11010011000000000000000
310201002210201121222120100000
412123122213322120000000
512201203123202340000
6140044040033200000
75645414514342105
oct633324772300000
9121083647876300
1028272291840000
11901023676088a
123207439400000
1312a10b13ba640
146da559b3aaac
15340661b90000
hex19b6a7e98000

28272291840000 has 3840 divisors, whose sum is σ = 125197309036800. Its totient is φ = 6306398208000.

The previous prime is 28272291839947. The next prime is 28272291840011. The reversal of 28272291840000 is 4819227282.

It is a happy number.

28272291840000 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 229 + 18 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×282722918400002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1229230079989 + ... + 1229230080011.

It is an arithmetic number, because the mean of its divisors is an integer number (32603465895).

Almost surely, 228272291840000 is an apocalyptic number.

28272291840000 is a gapful number since it is divisible by the number (20) 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 28272291840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62598654518400).

28272291840000 is an abundant number, since it is smaller than the sum of its proper divisors (96925017196800).

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

28272291840000 is an frugal number, since it uses more digits than its factorization.

28272291840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28272291840000 in words is "twenty-eight trillion, two hundred seventy-two billion, two hundred ninety-one million, eight hundred forty thousand".