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1668036216 = 2337116114797
BaseRepresentation
bin110001101101100…
…0011011001111000
311022020201000112010
41203123003121320
511404004124331
6433303445520
756223034230
oct14333033170
94266630463
101668036216
11786621330
123a67568a0
132077677a2
1411b764cc0
159b68ce46
hex636c3678

1668036216 has 128 divisors (see below), whose sum is σ = 5284661760. Its totient is φ = 426124800.

The previous prime is 1668036211. The next prime is 1668036241. The reversal of 1668036216 is 6126308661.

1668036216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668036211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105330 + ... + 120126.

It is an arithmetic number, because the mean of its divisors is an integer number (41286420).

Almost surely, 21668036216 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 1668036216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642330880).

1668036216 is an abundant number, since it is smaller than the sum of its proper divisors (3616625544).

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

1668036216 is a wasteful number, since it uses less digits than its factorization.

1668036216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1668036216 is about 40841.5990872052. The cubic root of 1668036216 is about 1185.9557686403.

The spelling of 1668036216 in words is "one billion, six hundred sixty-eight million, thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 61 66 77 84 88 122 132 154 168 183 231 244 264 308 366 427 462 488 616 671 732 854 924 1281 1342 1464 1708 1848 2013 2562 2684 3416 4026 4697 5124 5368 8052 9394 10248 14091 14797 16104 18788 28182 29594 37576 44391 56364 59188 88782 103579 112728 118376 162767 177564 207158 310737 325534 355128 414316 488301 621474 651068 828632 902617 976602 1139369 1242948 1302136 1805234 1953204 2278738 2485896 2707851 3418107 3610468 3906408 4557476 5415702 6318319 6836214 7220936 9114952 9928787 10831404 12636638 13672428 18954957 19857574 21662808 25273276 27344856 29786361 37909914 39715148 50546552 59572722 69501509 75819828 79430296 119145444 139003018 151639656 208504527 238290888 278006036 417009054 556012072 834018108 1668036216