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47623737585097 is a prime number
BaseRepresentation
bin10101101010000010000111…
…11101100010110111001001
320020121210012011012022022101
422311001003331202313021
522220231403310210342
6245142013142553401
713013462420232352
oct1265010375426711
9206553164168271
1047623737585097
11141a1128355a33
125411971438861
132075b8c67b41b
14ba9003402d29
15578c091e23b7
hex2b5043f62dc9

47623737585097 has 2 divisors, whose sum is σ = 47623737585098. Its totient is φ = 47623737585096.

The previous prime is 47623737585077. The next prime is 47623737585119. The reversal of 47623737585097 is 79058573732674.

47623737585097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47514813823801 + 108923761296 = 6893099^2 + 330036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47623737585097 is a prime.

It is not a weakly prime, because it can be changed into another prime (47623737585077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23811868792548 + 23811868792549.

It is an arithmetic number, because the mean of its divisors is an integer number (23811868792549).

Almost surely, 247623737585097 is an apocalyptic number.

It is an amenable number.

47623737585097 is a deficient number, since it is larger than the sum of its proper divisors (1).

47623737585097 is an equidigital number, since it uses as much as digits as its factorization.

47623737585097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1867017600, while the sum is 73.

The spelling of 47623737585097 in words is "forty-seven trillion, six hundred twenty-three billion, seven hundred thirty-seven million, five hundred eighty-five thousand, ninety-seven".