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20285563571856 = 243311194146111887
BaseRepresentation
bin1001001110011000110011…
…10011111000111010010000
32122211021120210200222222000
410213030121303320322100
510124324313233244411
6111051020444314000
74162404114233412
oct447143163707220
978737523628860
1020285563571856
11651107187a190
12233758a242900
13b41bc727936b
14501b7dd5c9b2
15252a19e54956
hex127319cf8e90

20285563571856 has 640 divisors, whose sum is σ = 68648806195200. Its totient is φ = 5668766208000.

The previous prime is 20285563571839. The next prime is 20285563571869. The reversal of 20285563571856 is 65817536558202.

It is a happy number.

20285563571856 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 5 + 5 + 6 + 3 + 571 + 8 + 56 = 666.

It is a super-2 number, since 2×202855635718562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20285563571793 and 20285563571802.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1706527545 + ... + 1706539431.

It is an arithmetic number, because the mean of its divisors is an integer number (107263759680).

Almost surely, 220285563571856 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 20285563571856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34324403097600).

20285563571856 is an abundant number, since it is smaller than the sum of its proper divisors (48363242623344).

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

20285563571856 is a wasteful number, since it uses less digits than its factorization.

20285563571856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 20285563571856 in words is "twenty trillion, two hundred eighty-five billion, five hundred sixty-three million, five hundred seventy-one thousand, eight hundred fifty-six".