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8022412920852 = 223311127262120287
BaseRepresentation
bin111010010111101110100…
…0100101000100000010100
31001101221020202020202021000
41310233131010220200110
52022414400201431402
625021240130423300
71455412604462631
oct164573504504024
931357222222230
108022412920852
112613316a4a420
12a96969a31b30
1346268315c8c5
141da4031c9188
15dda3495ac1c
hex74bdd128814

8022412920852 has 192 divisors, whose sum is σ = 22878164090880. Its totient is φ = 2410853155200.

The previous prime is 8022412920839. The next prime is 8022412920877. The reversal of 8022412920852 is 2580292142208.

8022412920852 is a `hidden beast` number, since 8 + 0 + 22 + 412 + 9 + 208 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8022412920798 and 8022412920807.

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 63 ways as a sum of consecutive naturals, for example, 395435853 + ... + 395456139.

It is an arithmetic number, because the mean of its divisors is an integer number (119157104640).

Almost surely, 28022412920852 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 8022412920852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11439082045440).

8022412920852 is an abundant number, since it is smaller than the sum of its proper divisors (14855751170028).

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

8022412920852 is a wasteful number, since it uses less digits than its factorization.

8022412920852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23059 (or 23051 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 8022412920852 in words is "eight trillion, twenty-two billion, four hundred twelve million, nine hundred twenty thousand, eight hundred fifty-two".