Search a number
-
+
10266823060 = 22513238916529
BaseRepresentation
bin10011000111111001…
…10100100110010100
3222111111211122112221
421203330310212110
5132011301314220
64414433352124
7512264361514
oct114374644624
928444748487
1010266823060
11439939913a
121ba6408644
13c78070240
146d577b844
154015169aa
hex263f34994

10266823060 has 48 divisors (see below), whose sum is σ = 23229939600. Its totient is φ = 3789010944.

The previous prime is 10266823051. The next prime is 10266823067. The reversal of 10266823060 is 6032866201.

It is a happy number.

10266823060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 307581444 + 9959241616 = 17538^2 + 99796^2 .

It is a super-4 number, since 4×102668230604 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266823067) 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 15 ways as a sum of consecutive naturals, for example, 612876 + ... + 629404.

It is an arithmetic number, because the mean of its divisors is an integer number (483957075).

Almost surely, 210266823060 is an apocalyptic number.

10266823060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10266823060 is an abundant number, since it is smaller than the sum of its proper divisors (12963116540).

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

10266823060 is a wasteful number, since it uses less digits than its factorization.

10266823060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18938 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 10266823060 in words is "ten billion, two hundred sixty-six million, eight hundred twenty-three thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2389 4778 9556 11945 16529 23890 31057 33058 47780 62114 66116 82645 124228 155285 165290 214877 310570 330580 429754 621140 859508 1074385 2148770 4297540 39487781 78975562 157951124 197438905 394877810 513341153 789755620 1026682306 2053364612 2566705765 5133411530 10266823060