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46633672801 is a prime number
BaseRepresentation
bin101011011011100101…
…010110000001100001
311110100222111000211201
4223123211112001201
51231001210012201
633231225241201
73240424451512
oct533345260141
9143328430751
1046633672801
1118860546661
129055633201
134522506841
14238560aa09
15132e08e801
hexadb956061

46633672801 has 2 divisors, whose sum is σ = 46633672802. Its totient is φ = 46633672800.

The previous prime is 46633672777. The next prime is 46633672829. The reversal of 46633672801 is 10827633664.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46559282176 + 74390625 = 215776^2 + 8625^2 .

It is a cyclic number.

It is not a de Polignac number, because 46633672801 - 25 = 46633672769 is a prime.

It is not a weakly prime, because it can be changed into another prime (46633672601) 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, 23316836400 + 23316836401.

It is an arithmetic number, because the mean of its divisors is an integer number (23316836401).

Almost surely, 246633672801 is an apocalyptic number.

It is an amenable number.

46633672801 is a deficient number, since it is larger than the sum of its proper divisors (1).

46633672801 is an equidigital number, since it uses as much as digits as its factorization.

46633672801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 46633672801 in words is "forty-six billion, six hundred thirty-three million, six hundred seventy-two thousand, eight hundred one".