Search a number
-
+
266654611031344 = 241967163296327107
BaseRepresentation
bin111100101000010101011101…
…010111100100010100110000
31021222010221011022201000102121
4330220111131113210110300
5234422332120411000334
62343043234233124024
7110111105562034324
oct7450253527442460
91258127138630377
10266654611031344
1177a6764928a558
1225aa7549859614
13b5a3563c77793
1449bc21b28d984
1520c647200ddb4
hexf2855d5e4530

266654611031344 has 160 divisors (see below), whose sum is σ = 555546129914880. Its totient is φ = 123615215513856.

The previous prime is 266654611031327. The next prime is 266654611031407. The reversal of 266654611031344 is 443130116456662.

It is a super-2 number, since 2×2666546110313442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 266654611031291 and 266654611031300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9837099039 + ... + 9837126145.

It is an arithmetic number, because the mean of its divisors is an integer number (3472163311968).

Almost surely, 2266654611031344 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 266654611031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277773064957440).

266654611031344 is an abundant number, since it is smaller than the sum of its proper divisors (288891518883536).

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

266654611031344 is a wasteful number, since it uses less digits than its factorization.

266654611031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30327 (or 30321 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 266654611031344 in words is "two hundred sixty-six trillion, six hundred fifty-four billion, six hundred eleven million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 163 268 304 326 536 652 1072 1273 1304 2546 2608 2963 3097 5092 5926 6194 10184 10921 11852 12388 20368 21842 23704 24776 27107 43684 47408 49552 54214 56297 87368 108428 112594 174736 198521 207499 216856 225188 397042 414998 433712 450376 482969 515033 794084 829996 900752 965938 1030066 1588168 1659992 1816169 1931876 2060132 3176336 3319984 3632338 3771899 3863752 4120264 4418441 7264676 7543798 7727504 8240528 8836882 9176411 14529352 15087596 17673764 18352822 29058704 30175192 32358923 34507211 35347528 36705644 60350384 64717846 69014422 70695056 73411288 80318041 83950379 129435692 138028844 146822576 160636082 167900758 258871384 276057688 296035547 321272164 335801516 517742768 552115376 592071094 614819537 642544328 671603032 1184142188 1229639074 1285088656 1343206064 1526042779 2368284376 2459278148 3052085558 4736568752 4918556296 5381308747 5624675393 6104171116 9837112592 10762617494 11249350786 12208342232 13091840683 21525234988 22498701572 24416684464 26183681366 43050469976 44997403144 52367362732 86100939952 89994806288 102244866193 104734725464 204489732386 209469450928 248744972977 408979464772 497489945954 817958929544 877153325761 994979891908 1635917859088 1754306651522 1989959783816 3508613303044 3979919567632 7017226606088 14034453212176 16665913189459 33331826378918 66663652757836 133327305515672 266654611031344