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563668650 = 232522947919
BaseRepresentation
bin100001100110001…
…110011010101010
31110021122100000200
4201212032122222
52123244344100
6131533213030
716653050556
oct4146163252
91407570020
10563668650
1126a1a3666
12138931176
138ca17b5c
1454c0a866
1534742e00
hex2198e6aa

563668650 has 144 divisors (see below), whose sum is σ = 1601683200. Its totient is φ = 141886080.

The previous prime is 563668627. The next prime is 563668657. The reversal of 563668650 is 56866365.

563668650 is a `hidden beast` number, since 5 + 636 + 6 + 8 + 6 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 563668596 and 563668605.

It is not an unprimeable number, because it can be changed into a prime (563668657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 612891 + ... + 613809.

It is an arithmetic number, because the mean of its divisors is an integer number (11122800).

Almost surely, 2563668650 is an apocalyptic number.

563668650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 563668650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800841600).

563668650 is an abundant number, since it is smaller than the sum of its proper divisors (1038014550).

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

563668650 is a wasteful number, since it uses less digits than its factorization.

563668650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 563668650 is about 23741.7069731728. The cubic root of 563668650 is about 826.0530904479.

The spelling of 563668650 in words is "five hundred sixty-three million, six hundred sixty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 47 50 58 75 87 90 94 141 145 150 174 225 235 261 282 290 423 435 450 470 522 705 725 846 870 919 1175 1305 1363 1410 1450 1838 2115 2175 2350 2610 2726 2757 3525 4089 4230 4350 4595 5514 6525 6815 7050 8178 8271 9190 10575 12267 13050 13630 13785 16542 20445 21150 22975 24534 26651 27570 34075 40890 41355 43193 45950 53302 61335 68150 68925 79953 82710 86386 102225 122670 129579 133255 137850 159906 204450 206775 215965 239859 259158 266510 306675 388737 399765 413550 431930 479718 613350 647895 666275 777474 799530 1079825 1199295 1252597 1295790 1332550 1943685 1998825 2159650 2398590 2505194 3239475 3757791 3887370 3997650 5996475 6262985 6478950 7515582 9718425 11273373 11992950 12525970 18788955 19436850 22546746 31314925 37577910 56366865 62629850 93944775 112733730 187889550 281834325 563668650