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47351505401 is a prime number
BaseRepresentation
bin101100000110010111…
…101010000111111001
311112020000012201001022
4230012113222013321
51233433441133101
633430351032225
73264262104104
oct540627520771
9145200181038
1047351505401
1119099765942
129215b0b675
13460814a965
142412aa773b
1513720d5a1b
hexb065ea1f9

47351505401 has 2 divisors, whose sum is σ = 47351505402. Its totient is φ = 47351505400.

The previous prime is 47351505389. The next prime is 47351505403. The reversal of 47351505401 is 10450515374.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46991834176 + 359671225 = 216776^2 + 18965^2 .

It is a cyclic number.

It is not a de Polignac number, because 47351505401 - 210 = 47351504377 is a prime.

Together with 47351505403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47351505403) 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, 23675752700 + 23675752701.

It is an arithmetic number, because the mean of its divisors is an integer number (23675752701).

Almost surely, 247351505401 is an apocalyptic number.

It is an amenable number.

47351505401 is a deficient number, since it is larger than the sum of its proper divisors (1).

47351505401 is an equidigital number, since it uses as much as digits as its factorization.

47351505401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 47351505401 in words is "forty-seven billion, three hundred fifty-one million, five hundred five thousand, four hundred one".