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47142000617 is a prime number
BaseRepresentation
bin101011111001111000…
…011101011111101001
311111200101222202111212
4223321320131133221
51233021323004432
633353504402505
73256136252015
oct537170353751
9144611882455
1047142000617
1118aa1480898
129177916435
1345a391632a
1423d2d2d545
15135da002b2
hexaf9e1d7e9

47142000617 has 2 divisors, whose sum is σ = 47142000618. Its totient is φ = 47142000616.

The previous prime is 47142000611. The next prime is 47142000649. The reversal of 47142000617 is 71600024174.

It is an a-pointer prime, because the next prime (47142000649) can be obtained adding 47142000617 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34485975616 + 12656025001 = 185704^2 + 112499^2 .

It is a cyclic number.

It is not a de Polignac number, because 47142000617 - 28 = 47142000361 is a prime.

It is not a weakly prime, because it can be changed into another prime (47142000611) 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, 23571000308 + 23571000309.

It is an arithmetic number, because the mean of its divisors is an integer number (23571000309).

Almost surely, 247142000617 is an apocalyptic number.

It is an amenable number.

47142000617 is a deficient number, since it is larger than the sum of its proper divisors (1).

47142000617 is an equidigital number, since it uses as much as digits as its factorization.

47142000617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 47142000617 in words is "forty-seven billion, one hundred forty-two million, six hundred seventeen", and thus it is an aban number.