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1026646466201 = 17342114095897
BaseRepresentation
bin11101111000010001110…
…01011101111010011001
310122010221202110011022122
432330020321131322121
5113310032443404301
62103345044431025
7134113153656266
oct16741071357231
93563852404278
101026646466201
11366442190394
12146b799a8475
1375a739568c5
143799333c26d
151ba8ac6581b
hexef08e5de99

1026646466201 has 8 divisors (see below), whose sum is σ = 1035033598344. Its totient is φ = 1018287527040.

The previous prime is 1026646466191. The next prime is 1026646466213.

1026646466201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2302080400 + 1024344385801 = 47980^2 + 1012099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1026646466201 - 214 = 1026646449817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1026646466281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6975116 + ... + 7120781.

It is an arithmetic number, because the mean of its divisors is an integer number (129379199793).

Almost surely, 21026646466201 is an apocalyptic number.

It is an amenable number.

1026646466201 is a deficient number, since it is larger than the sum of its proper divisors (8387132143).

1026646466201 is a wasteful number, since it uses less digits than its factorization.

1026646466201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096491.

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 1026646466201 in words is "one trillion, twenty-six billion, six hundred forty-six million, four hundred sixty-six thousand, two hundred one".

Divisors: 1 173 421 72833 14095897 2438590181 5934372637 1026646466201