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266356068 = 2231117294093
BaseRepresentation
bin11111110000001…
…00010101100100
3200120012021211120
433320010111210
51021141343233
642232533540
76412663206
oct1770042544
9616167746
10266356068
11127395290
12752512b0
134324b354
1427536776
15185b54b3
hexfe04564

266356068 has 96 divisors (see below), whose sum is σ = 742815360. Its totient is φ = 73328640.

The previous prime is 266356037. The next prime is 266356091. The reversal of 266356068 is 860653662.

266356068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63030 + ... + 67122.

It is an arithmetic number, because the mean of its divisors is an integer number (7737660).

Almost surely, 2266356068 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 266356068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371407680).

266356068 is an abundant number, since it is smaller than the sum of its proper divisors (476459292).

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

266356068 is a wasteful number, since it uses less digits than its factorization.

266356068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 266356068 is about 16320.4187446278. The cubic root of 266356068 is about 643.4095928881.

The spelling of 266356068 in words is "two hundred sixty-six million, three hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 132 174 187 204 319 348 374 493 561 638 748 957 986 1122 1276 1479 1914 1972 2244 2958 3828 4093 5423 5916 8186 10846 12279 16269 16372 21692 24558 32538 45023 49116 65076 69581 90046 118697 135069 139162 180092 208743 237394 270138 278324 356091 417486 474788 540276 712182 765391 834972 1305667 1424364 1530782 2017849 2296173 2611334 3061564 3917001 4035698 4592346 5222668 6053547 7834002 8071396 9184692 12107094 15668004 22196339 24214188 44392678 66589017 88785356 133178034 266356068