Search a number
-
+
5606666666692 = 22721359181206051
BaseRepresentation
bin101000110010110011101…
…1000000000001011000100
3201211222210020110221100121
41101211213120000023010
51213324423131313232
615531400032351324
71116032266226200
oct121454730001304
921758706427317
105606666666692
111871857193453
127667393a5544
13318924c58660
141555151b7b00
159ac979b2d97
hex519676002c4

5606666666692 has 144 divisors (see below), whose sum is σ = 12568990674240. Its totient is φ = 2168371296000.

The previous prime is 5606666666687. The next prime is 5606666666693. The reversal of 5606666666692 is 2966666666065.

It is a super-2 number, since 2×56066666666922 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5606666666693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27107067 + ... + 27313117.

It is an arithmetic number, because the mean of its divisors is an integer number (87284657460).

Almost surely, 25606666666692 is an apocalyptic number.

5606666666692 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5606666666692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284495337120).

5606666666692 is an abundant number, since it is smaller than the sum of its proper divisors (6962324007548).

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

5606666666692 is a wasteful number, since it uses less digits than its factorization.

5606666666692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206322 (or 206313 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 70.

The spelling of 5606666666692 in words is "five trillion, six hundred six billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 59 91 98 118 181 182 196 236 362 364 413 637 724 767 826 1267 1274 1534 1652 2353 2534 2548 2891 3068 4706 5068 5369 5782 8869 9412 10679 10738 11564 16471 17738 21358 21476 32942 35476 37583 42716 65884 74753 75166 115297 138827 149506 150332 206051 230594 277654 299012 412102 461188 523271 555308 824204 971789 1046542 1442357 1943578 2093084 2678663 2884714 3887156 5357326 5769428 6802523 10096499 10714652 12157009 13605046 18750641 20192998 24314018 27210092 37295231 37501282 40385996 48628036 74590462 75002564 85099063 131254487 149180924 158041117 170198126 261066617 262508974 316082234 340396252 484838003 522133234 525017948 595693441 632164468 969676006 1044266468 1106287819 1191386882 1827466319 1939352012 2200418629 2212575638 2382773764 3393866021 3654932638 4400837258 4425151276 6787732042 7309865276 7744014733 8801674516 13575464084 15402930403 15488029466 23757062147 28605442177 30805860806 30976058932 47514124294 57210884354 61611721612 95028248588 107820512821 114421768708 200238095239 215641025642 400476190478 431282051284 800952380956 1401666666673 2803333333346 5606666666692