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46406446081 is a prime number
BaseRepresentation
bin101011001110000010…
…100010110000000001
311102210010220201101021
4223032002202300001
51230020022233311
633152511105441
73231665166112
oct531602426001
9142703821337
1046406446081
1118754257886
128bb1512281
1344b7408968
14236337c209
151319158171
hexace0a2c01

46406446081 has 2 divisors, whose sum is σ = 46406446082. Its totient is φ = 46406446080.

The previous prime is 46406446057. The next prime is 46406446103. The reversal of 46406446081 is 18064460464.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35887892481 + 10518553600 = 189441^2 + 102560^2 .

It is a cyclic number.

It is not a de Polignac number, because 46406446081 - 211 = 46406444033 is a prime.

It is a super-2 number, since 2×464064460812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (46406446001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23203223040 + 23203223041.

It is an arithmetic number, because the mean of its divisors is an integer number (23203223041).

Almost surely, 246406446081 is an apocalyptic number.

It is an amenable number.

46406446081 is a deficient number, since it is larger than the sum of its proper divisors (1).

46406446081 is an equidigital number, since it uses as much as digits as its factorization.

46406446081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 46406446081 in words is "forty-six billion, four hundred six million, four hundred forty-six thousand, eighty-one".