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663617712 = 2431719231861
BaseRepresentation
bin100111100011100…
…000000010110000
31201020201021100210
4213203200002300
52324341231322
6145503344120
722305441342
oct4743400260
91636637323
10663617712
1131065a89a
121662b2040
13a7641404
14641c7292
153d3d770c
hex278e00b0

663617712 has 160 divisors (see below), whose sum is σ = 1994872320. Its totient is φ = 188559360.

The previous prime is 663617711. The next prime is 663617723. The reversal of 663617712 is 217716366.

It is a super-2 number, since 2×6636177122 = 880776935360229888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (663617711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355662 + ... + 357522.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2663617712 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 663617712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

663617712 is an abundant number, since it is smaller than the sum of its proper divisors (1331254608).

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

663617712 is a wasteful number, since it uses less digits than its factorization.

663617712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 663617712 is about 25760.7785596631. The cubic root of 663617712 is about 872.2466757166.

The spelling of 663617712 in words is "six hundred sixty-three million, six hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 23 24 34 38 46 48 51 57 68 69 76 92 102 114 136 138 152 184 204 228 272 276 304 323 368 391 408 437 456 552 646 782 816 874 912 969 1104 1173 1292 1311 1564 1748 1861 1938 2346 2584 2622 3128 3496 3722 3876 4692 5168 5244 5583 6256 6992 7429 7444 7752 9384 10488 11166 14858 14888 15504 18768 20976 22287 22332 29716 29776 31637 35359 42803 44574 44664 59432 63274 70718 85606 89148 89328 94911 106077 118864 126548 128409 141436 171212 178296 189822 212154 253096 256818 282872 342424 356592 379644 424308 506192 513636 565744 601103 684848 727651 759288 813257 848616 1027272 1202206 1455302 1518576 1626514 1697232 1803309 2054544 2182953 2404412 2439771 2910604 3253028 3606618 4365906 4808824 4879542 5821208 6506056 7213236 8731812 9617648 9759084 11642416 13012112 13825369 14426472 17463624 19518168 27650738 28852944 34927248 39036336 41476107 55301476 82952214 110602952 165904428 221205904 331808856 663617712