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10446679601 is a prime number
BaseRepresentation
bin10011011101010101…
…11010111000110001
3222222001021022100022
421232222322320301
5132343322221401
64444340333225
7516610211561
oct115652727061
928861238308
1010446679601
114480973006
1220366a4215
13ca63c3a27
147115d8da1
154121e271b
hex26eabae31

10446679601 has 2 divisors, whose sum is σ = 10446679602. Its totient is φ = 10446679600.

The previous prime is 10446679577. The next prime is 10446679619. The reversal of 10446679601 is 10697664401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6822760000 + 3623919601 = 82600^2 + 60199^2 .

It is an emirp because it is prime and its reverse (10697664401) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10446679601 is a prime.

It is a super-2 number, since 2×104466796012 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10446679651) 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, 5223339800 + 5223339801.

It is an arithmetic number, because the mean of its divisors is an integer number (5223339801).

Almost surely, 210446679601 is an apocalyptic number.

It is an amenable number.

10446679601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10446679601 is an equidigital number, since it uses as much as digits as its factorization.

10446679601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 10446679601 in words is "ten billion, four hundred forty-six million, six hundred seventy-nine thousand, six hundred one".