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563641664 = 26171393727
BaseRepresentation
bin100001100110000…
…111110101000000
31110021120222000012
4201212013311000
52123243013124
6131532444052
716652606105
oct4146076500
91407528005
10563641664
1126a185363
12138919628
138ca087a1
1454c00aac
1534739e0e
hex21987d40

563641664 has 56 divisors (see below), whose sum is σ = 1193109120. Its totient is φ = 263264256.

The previous prime is 563641649. The next prime is 563641693. The reversal of 563641664 is 466146365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149369 + ... + 153095.

It is an arithmetic number, because the mean of its divisors is an integer number (21305520).

Almost surely, 2563641664 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 563641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596554560).

563641664 is an abundant number, since it is smaller than the sum of its proper divisors (629467456).

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

563641664 is a wasteful number, since it uses less digits than its factorization.

563641664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3885 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 563641664 is about 23741.1386416069. The cubic root of 563641664 is about 826.0399076295.

The spelling of 563641664 in words is "five hundred sixty-three million, six hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 139 272 278 544 556 1088 1112 2224 2363 3727 4448 4726 7454 8896 9452 14908 18904 29816 37808 59632 63359 75616 119264 126718 151232 238528 253436 506872 518053 1013744 1036106 2027488 2072212 4054976 4144424 8288848 8806901 16577696 17613802 33155392 35227604 70455208 140910416 281820832 563641664