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47061744001 is a prime number
BaseRepresentation
bin101011110101000110…
…010011100110000001
311111110210222022010121
4223311012103212001
51232340301302001
633341520300241
73254143136506
oct536506234601
9144423868117
1047061744001
1118a60144908
129154a71681
1345900c61cc
1423c63db4ad
15135694a6a1
hexaf5193981

47061744001 has 2 divisors, whose sum is σ = 47061744002. Its totient is φ = 47061744000.

The previous prime is 47061743957. The next prime is 47061744013. The reversal of 47061744001 is 10044716074.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40875134976 + 6186609025 = 202176^2 + 78655^2 .

It is a cyclic number.

It is not a de Polignac number, because 47061744001 - 215 = 47061711233 is a prime.

It is not a weakly prime, because it can be changed into another prime (47061744071) 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, 23530872000 + 23530872001.

It is an arithmetic number, because the mean of its divisors is an integer number (23530872001).

Almost surely, 247061744001 is an apocalyptic number.

It is an amenable number.

47061744001 is a deficient number, since it is larger than the sum of its proper divisors (1).

47061744001 is an equidigital number, since it uses as much as digits as its factorization.

47061744001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 47061744001 in words is "forty-seven billion, sixty-one million, seven hundred forty-four thousand, one".