Search a number
-
+
665931074116 = 22741127572
BaseRepresentation
bin10011011000011001001…
…01011100101001000100
32100122212212210122101011
421230030211130221010
541402311323332431
61225531410012004
766053251510000
oct11541445345104
92318785718334
10665931074116
11237468804400
12a908ab77004
134aa490cc7b9
1424334723700
15124c8140cb1
hex9b0c95ca44

665931074116 has 135 divisors (see below), whose sum is σ = 1496334301917. Its totient is φ = 259110925920.

The previous prime is 665931074101. The next prime is 665931074117. The reversal of 665931074116 is 611470139566.

It is a happy number.

The square root of 665931074116 is 816046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 411406788100 + 254524286016 = 641410^2 + 504504^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 665931074116.

It is not an unprimeable number, because it can be changed into a prime (665931074117) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 879697210 + ... + 879697966.

Almost surely, 2665931074116 is an apocalyptic number.

665931074116 is the 816046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665931074116

665931074116 is an abundant number, since it is smaller than the sum of its proper divisors (830403227801).

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

665931074116 is an frugal number, since it uses more digits than its factorization.

665931074116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 665931074116 by its sum of digits (49), we get a square (32630622631684 = 57123222).

665931074116 divided by its sum of digits (49) gives a square (13590430084 = 1165782).

The spelling of 665931074116 in words is "six hundred sixty-five billion, nine hundred thirty-one million, seventy-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 343 484 539 686 757 847 1078 1372 1514 1694 2156 2401 3028 3388 3773 4802 5299 5929 7546 8327 9604 10598 11858 15092 16654 21196 23716 26411 33308 37093 41503 52822 58289 74186 83006 91597 105644 116578 148372 166012 183194 233156 259651 290521 366388 408023 519302 573049 581042 641179 816046 1038604 1146098 1162084 1282358 1632092 1817557 2292196 2564716 2856161 3635114 4011343 4488253 5712322 6303539 7270228 8022686 8976506 11424644 12607078 16045372 17953012 19993127 25214156 28079401 31417771 39986254 44124773 56158802 62835542 69338929 79972508 88249546 112317604 125671084 138677858 176499092 196555807 219924397 277355716 308873411 393111614 439848794 485372503 617746822 786223228 879697588 970745006 1235493644 1375890649 1941490012 2162113877 2751781298 3397607521 4324227754 5503562596 6795215042 8648455508 13590430084 15134797139 23783252647 30269594278 47566505294 60539188556 95133010588 166482768529 332965537058 665931074116