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809722873080 = 23345111719312269
BaseRepresentation
bin10111100100001110011…
…11101000010011111000
32212102000222102212110000
423302013033220103320
5101231303023414310
61415552003153000
7112333454600532
oct13620717502370
92772028385400
10809722873080
112924464a81a0
12110b1a675760
135b483417104
142b29578a852
15160e1bad4c0
hexbc873e84f8

809722873080 has 1280 divisors, whose sum is σ = 3417334272000. Its totient is φ = 169305292800.

The previous prime is 809722873033. The next prime is 809722873133. The reversal of 809722873080 is 80378227908.

It is a super-2 number, since 2×8097228730802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 356862186 + ... + 356864454.

It is an arithmetic number, because the mean of its divisors is an integer number (2669792400).

Almost surely, 2809722873080 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 809722873080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708667136000).

809722873080 is an abundant number, since it is smaller than the sum of its proper divisors (2607611398920).

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

809722873080 is a wasteful number, since it uses less digits than its factorization.

809722873080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 809722873080 in words is "eight hundred nine billion, seven hundred twenty-two million, eight hundred seventy-three thousand, eighty".