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809238528000 = 221325373
BaseRepresentation
bin10111100011010100110…
…00000000000000000000
32212100210020001120220100
423301222120000000000
5101224310030344000
61415431542042400
7112315453665000
oct13615230000000
92770706046810
10809238528000
11292218063601
12110a04419400
135b406c837a6
142b24b30c000
15160b43d8a00
hexbc6a600000

809238528000 has 1056 divisors, whose sum is σ = 3402418593600. Its totient is φ = 184968806400.

The previous prime is 809238527969. The next prime is 809238528023. The reversal of 809238528000 is 825832908.

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.

809238528000 is a `hidden beast` number, since 8 + 0 + 92 + 38 + 528 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×8092385280003 (a number of 37 digits) contains 333 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115605503997 + ... + 115605504003.

Almost surely, 2809238528000 is an apocalyptic number.

809238528000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

809238528000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809238528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701209296800).

809238528000 is an abundant number, since it is smaller than the sum of its proper divisors (2593180065600).

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

809238528000 is an frugal number, since it uses more digits than its factorization.

809238528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 809238528000 in words is "eight hundred nine billion, two hundred thirty-eight million, five hundred twenty-eight thousand".