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266281366696900 = 2252172959892
BaseRepresentation
bin111100100010111001110110…
…010001011011001111000100
31021220211020202021122021121221
4330202321312101123033010
5234400223214333300100
62342155545431450124
7110042123333402212
oct7442716621331704
91256736667567557
10266281366696900
1177933325617755
1225a47142b26944
13b5772c080c309
1449a81306c9cb2
1520bb8c94d501a
hexf22e7645b3c4

266281366696900 has 81 divisors (see below), whose sum is σ = 613826407490709. Its totient is φ = 100246058396160.

The previous prime is 266281366696867. The next prime is 266281366696903. The reversal of 266281366696900 is 9696663182662.

The square root of 266281366696900 is 16318130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 213677562585796 + 52603804111104 = 14617714^2 + 7252848^2 .

It is a super-2 number, since 2×2662813666969002 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 266281366696900.

It is not an unprimeable number, because it can be changed into a prime (266281366696903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2774034106 + ... + 2774130094.

Almost surely, 2266281366696900 is an apocalyptic number.

266281366696900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

266281366696900 is the 16318130-th square number.

It is an amenable number.

266281366696900 is an abundant number, since it is smaller than the sum of its proper divisors (347545040793809).

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

266281366696900 is an frugal number, since it uses more digits than its factorization.

266281366696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192026 (or 96013 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 70.

The spelling of 266281366696900 in words is "two hundred sixty-six trillion, two hundred eighty-one billion, three hundred sixty-six million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 95989 191978 383956 479945 959890 1631813 1919780 2399725 3263626 4799450 6527252 8159065 9598900 16318130 27740821 32636260 40795325 55481642 81590650 110963284 138704105 163181300 277408210 554816420 693520525 1387041050 2774082100 9213888121 18427776242 36855552484 46069440605 92138881210 156636098057 184277762420 230347203025 313272196114 460694406050 626544392228 783180490285 921388812100 1566360980570 2662813666969 3132721961140 3915902451425 5325627333938 7831804902850 10651254667876 13314068334845 15663609805700 26628136669690 53256273339380 66570341674225 133140683348450 266281366696900