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38344074747977 is a prime number
BaseRepresentation
bin10001011011111101011001…
…11101000110000001001001
312000202122202111102100222202
420231332230331012001021
520011212131113413402
6213315005203125545
711035160626455455
oct1055765475060111
9160678674370882
1038344074747977
11112436a3627039
1243734090738b5
131851aa517792b
14967c12589665
1546763d9c2b02
hex22dfacf46049

38344074747977 has 2 divisors, whose sum is σ = 38344074747978. Its totient is φ = 38344074747976.

The previous prime is 38344074747911. The next prime is 38344074748003. The reversal of 38344074747977 is 77974747044383.

38344074747977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21562426583296 + 16781648164681 = 4643536^2 + 4096541^2 .

It is a cyclic number.

It is not a de Polignac number, because 38344074747977 - 238 = 38069196841033 is a prime.

It is not a weakly prime, because it can be changed into another prime (38344074347977) 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, 19172037373988 + 19172037373989.

It is an arithmetic number, because the mean of its divisors is an integer number (19172037373989).

Almost surely, 238344074747977 is an apocalyptic number.

It is an amenable number.

38344074747977 is a deficient number, since it is larger than the sum of its proper divisors (1).

38344074747977 is an equidigital number, since it uses as much as digits as its factorization.

38344074747977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2788079616, while the sum is 74.

The spelling of 38344074747977 in words is "thirty-eight trillion, three hundred forty-four billion, seventy-four million, seven hundred forty-seven thousand, nine hundred seventy-seven".