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983672620081 is a prime number
BaseRepresentation
bin11100101000001110111…
…01010000010000110001
310111001000211120120212021
432110013131100100301
5112104030142320311
62031520514031441
7131032216212214
oct16240735202061
93431024516767
10983672620081
1134a19a605788
1213a785b78581
13719b57492a8
1435877c1577b
151a8c3154171
hexe507750431

983672620081 has 2 divisors, whose sum is σ = 983672620082. Its totient is φ = 983672620080.

The previous prime is 983672620079. The next prime is 983672620181. The reversal of 983672620081 is 180026276389.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 983649387681 + 23232400 = 991791^2 + 4820^2 .

It is a cyclic number.

It is not a de Polignac number, because 983672620081 - 21 = 983672620079 is a prime.

It is a super-2 number, since 2×9836726200812 (a number of 25 digits) contains 22 as substring.

Together with 983672620079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (983672620181) 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, 491836310040 + 491836310041.

It is an arithmetic number, because the mean of its divisors is an integer number (491836310041).

Almost surely, 2983672620081 is an apocalyptic number.

It is an amenable number.

983672620081 is a deficient number, since it is larger than the sum of its proper divisors (1).

983672620081 is an equidigital number, since it uses as much as digits as its factorization.

983672620081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 983672620081 in words is "nine hundred eighty-three billion, six hundred seventy-two million, six hundred twenty thousand, eighty-one".