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806539393920 = 273513177512531
BaseRepresentation
bin10111011110010010111…
…11100111101110000000
32212002211010011101000110
423233021133213232000
5101203243041101140
61414304042151320
7112161540506301
oct13571137475600
92762733141013
10806539393920
11291062509187
121103904b2540
135b096a11230
142b072a627a8
1515ea7475380
hexbbc97e7b80

806539393920 has 512 divisors, whose sum is σ = 2936523663360. Its totient is φ = 186531840000.

The previous prime is 806539393811. The next prime is 806539393949. The reversal of 806539393920 is 29393935608.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 318663055 + ... + 318665585.

It is an arithmetic number, because the mean of its divisors is an integer number (5735397780).

Almost surely, 2806539393920 is an apocalyptic number.

806539393920 is a gapful number since it is divisible by the number (80) 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 806539393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468261831680).

806539393920 is an abundant number, since it is smaller than the sum of its proper divisors (2129984269440).

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

806539393920 is a wasteful number, since it uses less digits than its factorization.

806539393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 57.

The spelling of 806539393920 in words is "eight hundred six billion, five hundred thirty-nine million, three hundred ninety-three thousand, nine hundred twenty".