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10364427066 = 23771248953
BaseRepresentation
bin10011010011100010…
…01001101100111010
3222202022111110002010
421221301021230322
5132211243131231
64432241350350
7514561114350
oct115161115472
928668443063
1010364427066
1144394a3504
1220130383b6
13c923552a6
147047077d0
15409d96546
hex269c49b3a

10364427066 has 48 divisors (see below), whose sum is σ = 24028972992. Its totient is φ = 2919497280.

The previous prime is 10364427019. The next prime is 10364427079. The reversal of 10364427066 is 66072446301.

It is a happy number.

10364427066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 187246 + ... + 236198.

It is an arithmetic number, because the mean of its divisors is an integer number (500603604).

Almost surely, 210364427066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10364427066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014486496).

10364427066 is an abundant number, since it is smaller than the sum of its proper divisors (13664545926).

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

10364427066 is an equidigital number, since it uses as much as digits as its factorization.

10364427066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49107 (or 49036 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 10364427066 in words is "ten billion, three hundred sixty-four million, four hundred twenty-seven thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1491 2982 5041 10082 15123 30246 35287 48953 70574 97906 105861 146859 211722 293718 342671 685342 1028013 2056026 3475663 6951326 10426989 20853978 24329641 48659282 72988923 145977846 246772073 493544146 740316219 1480632438 1727404511 3454809022 5182213533 10364427066