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661568688 = 243311236053
BaseRepresentation
bin100111011011101…
…011110010110000
31201002212011122000
4213123223302300
52323330144223
6145351414000
722252145454
oct4733536260
91632764560
10661568688
1130a490390
12165684300
13a70a4881
1463c12664
153d130543
hex276ebcb0

661568688 has 160 divisors (see below), whose sum is σ = 2162004480. Its totient is φ = 191727360.

The previous prime is 661568671. The next prime is 661568701. The reversal of 661568688 is 886865166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106270 + ... + 112322.

It is an arithmetic number, because the mean of its divisors is an integer number (13512528).

Almost surely, 2661568688 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 661568688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081002240).

661568688 is an abundant number, since it is smaller than the sum of its proper divisors (1500435792).

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

661568688 is a wasteful number, since it uses less digits than its factorization.

661568688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6092 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 661568688 is about 25720.9775863982. The cubic root of 661568688 is about 871.3480172579.

The spelling of 661568688 in words is "six hundred sixty-one million, five hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2277 2376 2484 3036 3312 4048 4554 4752 4968 6053 6072 6831 9108 9936 12106 12144 13662 18159 18216 24212 27324 36318 36432 48424 54477 54648 66583 72636 96848 108954 109296 133166 139219 145272 163431 199749 217908 266332 278438 290544 326862 399498 417657 435816 532664 556876 599247 653724 798996 835314 871632 1065328 1113752 1198494 1252971 1307448 1531409 1597992 1670628 1797741 2227504 2396988 2505942 2614896 3062818 3195984 3341256 3595482 3758913 4594227 4793976 5011884 6125636 6682512 7190964 7517826 9188454 9587952 10023768 12251272 13782681 14381928 15035652 18376908 20047536 24502544 27565362 28763856 30071304 36753816 41348043 55130724 60142608 73507632 82696086 110261448 165392172 220522896 330784344 661568688