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10106604666 = 232561478037
BaseRepresentation
bin10010110100110011…
…01000110001111010
3222002100100201020100
421122121220301322
5131144242322131
64350511340230
7505310502504
oct113231506172
928070321210
1010106604666
114316a07744
121b60821676
13c50b04262
146bc392d74
153e24197e6
hex25a668c7a

10106604666 has 12 divisors (see below), whose sum is σ = 21897643482. Its totient is φ = 3368868216.

The previous prime is 10106604653. The next prime is 10106604667. The reversal of 10106604666 is 66640660101.

10106604666 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 only one way, i.e., 7513249041 + 2593355625 = 86679^2 + 50925^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10106604666.

It is not an unprimeable number, because it can be changed into a prime (10106604667) 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 5 ways as a sum of consecutive naturals, for example, 280739001 + ... + 280739036.

Almost surely, 210106604666 is an apocalyptic number.

10106604666 is an abundant number, since it is smaller than the sum of its proper divisors (11791038816).

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

10106604666 is a wasteful number, since it uses less digits than its factorization.

10106604666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561478045 (or 561478042 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10106604666 in words is "ten billion, one hundred six million, six hundred four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 561478037 1122956074 1684434111 3368868222 5053302333 10106604666