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47561264677 is a prime number
BaseRepresentation
bin101100010010110111…
…110100111000100101
311112202121220120200101
4230102313310320211
51234401140432202
633503242544101
73302420036143
oct542267647045
9145677816611
1047561264677
1119197104113
129274208031
13463c741084
1424328aa593
15138571b887
hexb12df4e25

47561264677 has 2 divisors, whose sum is σ = 47561264678. Its totient is φ = 47561264676.

The previous prime is 47561264627. The next prime is 47561264693. The reversal of 47561264677 is 77646216574.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45228954241 + 2332310436 = 212671^2 + 48294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47561264677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47561264627) 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, 23780632338 + 23780632339.

It is an arithmetic number, because the mean of its divisors is an integer number (23780632339).

Almost surely, 247561264677 is an apocalyptic number.

It is an amenable number.

47561264677 is a deficient number, since it is larger than the sum of its proper divisors (1).

47561264677 is an equidigital number, since it uses as much as digits as its factorization.

47561264677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11854080, while the sum is 55.

The spelling of 47561264677 in words is "forty-seven billion, five hundred sixty-one million, two hundred sixty-four thousand, six hundred seventy-seven".