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10646444141 is a prime number
BaseRepresentation
bin10011110101001001…
…11101100001101101
31000110222011101202222
421322210331201231
5133300442203031
64520234125125
7524554165514
oct117244754155
930428141688
1010646444141
114573705073
1220915807a5
1310088c7ab8
1472dd5967b
15424a01e7b
hex27a93d86d

10646444141 has 2 divisors, whose sum is σ = 10646444142. Its totient is φ = 10646444140.

The previous prime is 10646444093. The next prime is 10646444143. The reversal of 10646444141 is 14144464601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10235571241 + 410872900 = 101171^2 + 20270^2 .

It is a cyclic number.

It is not a de Polignac number, because 10646444141 - 26 = 10646444077 is a prime.

It is a super-2 number, since 2×106464441412 (a number of 21 digits) contains 22 as substring.

Together with 10646444143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10646444143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5323222070 + 5323222071.

It is an arithmetic number, because the mean of its divisors is an integer number (5323222071).

Almost surely, 210646444141 is an apocalyptic number.

It is an amenable number.

10646444141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10646444141 is an equidigital number, since it uses as much as digits as its factorization.

10646444141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 10646444141 in words is "ten billion, six hundred forty-six million, four hundred forty-four thousand, one hundred forty-one".