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3960297666 = 23213241113281
BaseRepresentation
bin1110110000001101…
…0101100011000010
3101012222222222002100
43230003111203002
531102314011131
61452550531230
7200065655223
oct35403254302
911188888070
103960297666
111752537286
12926366b16
134b1630500
14297d7b24a
15182a317e6
hexec0d58c2

3960297666 has 144 divisors (see below), whose sum is σ = 9636491592. Its totient is φ = 1174118400.

The previous prime is 3960297659. The next prime is 3960297683. The reversal of 3960297666 is 6667920693.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 965034225 + 2995263441 = 31065^2 + 54729^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14093446 + ... + 14093726.

Almost surely, 23960297666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960297666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818245796).

3960297666 is an abundant number, since it is smaller than the sum of its proper divisors (5676193926).

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

3960297666 is a wasteful number, since it uses less digits than its factorization.

3960297666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3960297666 is about 62930.8959573912. The cubic root of 3960297666 is about 1582.1316186923.

The spelling of 3960297666 in words is "three billion, nine hundred sixty million, two hundred ninety-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 113 117 123 169 226 234 246 281 338 339 369 507 533 562 678 738 843 1014 1017 1066 1469 1521 1599 1686 2034 2529 2938 3042 3198 3653 4407 4633 4797 5058 6929 7306 8814 9266 9594 10959 11521 13221 13858 13899 19097 20787 21918 23042 26442 27798 31753 32877 34563 38194 41574 41697 47489 57291 60229 62361 63506 65754 69126 83394 94978 95259 103689 114582 120458 124722 142467 149773 171873 180687 190518 207378 284934 285777 299546 343746 361374 412789 427401 449319 542061 571554 782977 825578 854802 898638 1084122 1238367 1301873 1347957 1565954 1947049 2348931 2476734 2603746 2695914 3715101 3894098 3905619 4697862 5366257 5841147 7046793 7430202 7811238 10732514 11682294 11716857 14093586 16098771 16924349 17523441 23433714 32197542 33848698 35046882 48296313 50773047 96592626 101546094 152319141 220016537 304638282 440033074 660049611 1320099222 1980148833 3960297666