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10466146321 is a prime number
BaseRepresentation
bin10011011111101010…
…01011100000010001
31000000101220022122221
421233311023200101
5132413313140241
64450313501041
7520234530061
oct115765134021
930011808587
1010466146321
114490959704
122041111781
13caa44b4b7
147140253a1
15413c8a5d1
hex26fd4b811

10466146321 has 2 divisors, whose sum is σ = 10466146322. Its totient is φ = 10466146320.

The previous prime is 10466146307. The next prime is 10466146337. The reversal of 10466146321 is 12364166401.

10466146321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9209089296 + 1257057025 = 95964^2 + 35455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10466146321 is a prime.

It is not a weakly prime, because it can be changed into another prime (10466146351) 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 as a sum of consecutive naturals, namely, 5233073160 + 5233073161.

It is an arithmetic number, because the mean of its divisors is an integer number (5233073161).

Almost surely, 210466146321 is an apocalyptic number.

It is an amenable number.

10466146321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10466146321 is an equidigital number, since it uses as much as digits as its factorization.

10466146321 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10466146321 in words is "ten billion, four hundred sixty-six million, one hundred forty-six thousand, three hundred twenty-one".