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20282317056 = 2834232432
BaseRepresentation
bin10010111000111010…
…111001100100000000
31221100111202110110000
4102320322321210000
5313014233121211
613152332240000
71315420564461
oct227072714400
957314673400
1020282317056
118668926001
123b20610000
131bb3023b51
14da59b4d68
157da935656
hex4b8eb9900

20282317056 has 405 divisors, whose sum is σ = 64726483899. Its totient is φ = 6316434432.

The previous prime is 20282317037. The next prime is 20282317073. The reversal of 20282317056 is 65071328202.

The square root of 20282317056 is 142416.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×202823170562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20282317056.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 471681771 + ... + 471681813.

Almost surely, 220282317056 is an apocalyptic number.

20282317056 is the 142416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20282317056

20282317056 is an abundant number, since it is smaller than the sum of its proper divisors (44444166843).

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

20282317056 is an frugal number, since it uses more digits than its factorization.

20282317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 20282317056 by its sum of digits (36), we get a square (730163414016 = 8544962).

20282317056 divided by its sum of digits (36) gives a square (563397696 = 237362).

The spelling of 20282317056 in words is "twenty billion, two hundred eighty-two million, three hundred seventeen thousand, fifty-six".