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2983582498993 is a prime number
BaseRepresentation
bin101011011010101011011…
…000000000000010110001
3101120020010222211210221021
4223122223120000002301
5342340334104431433
610202345555255441
7425361645541465
oct53325330000261
911506128753837
102983582498993
11a5036a5a2228
124022a38aa581
13188473418575
14a45987264a5
155292327e22d
hex2b6ab6000b1

2983582498993 has 2 divisors, whose sum is σ = 2983582498994. Its totient is φ = 2983582498992.

The previous prime is 2983582498961. The next prime is 2983582499063. The reversal of 2983582498993 is 3998942853892.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2780066026609 + 203516472384 = 1667353^2 + 451128^2 .

It is a cyclic number.

It is not a de Polignac number, because 2983582498993 - 25 = 2983582498961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2983582498693) 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, 1491791249496 + 1491791249497.

It is an arithmetic number, because the mean of its divisors is an integer number (1491791249497).

Almost surely, 22983582498993 is an apocalyptic number.

It is an amenable number.

2983582498993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2983582498993 is an equidigital number, since it uses as much as digits as its factorization.

2983582498993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2418647040, while the sum is 79.

The spelling of 2983582498993 in words is "two trillion, nine hundred eighty-three billion, five hundred eighty-two million, four hundred ninety-eight thousand, nine hundred ninety-three".