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47982431729 is a prime number
BaseRepresentation
bin101100101011111110…
…011100110111110001
311120211222102002021002
4230223332130313301
51241232000303404
634013130011345
73316022640341
oct545376346761
9146758362232
1047982431729
1119392917161
129371276b55
1346a8a8404b
1424727c0d21
1513ac6b1c1e
hexb2bf9cdf1

47982431729 has 2 divisors, whose sum is σ = 47982431730. Its totient is φ = 47982431728.

The previous prime is 47982431689. The next prime is 47982431747. The reversal of 47982431729 is 92713428974.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38268358129 + 9714073600 = 195623^2 + 98560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47982431729 is a prime.

It is not a weakly prime, because it can be changed into another prime (47982431759) 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, 23991215864 + 23991215865.

It is an arithmetic number, because the mean of its divisors is an integer number (23991215865).

Almost surely, 247982431729 is an apocalyptic number.

It is an amenable number.

47982431729 is a deficient number, since it is larger than the sum of its proper divisors (1).

47982431729 is an equidigital number, since it uses as much as digits as its factorization.

47982431729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6096384, while the sum is 56.

The spelling of 47982431729 in words is "forty-seven billion, nine hundred eighty-two million, four hundred thirty-one thousand, seven hundred twenty-nine".