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2957986081 is a prime number
BaseRepresentation
bin1011000001001111…
…0100100100100001
321122010222021002001
42300103310210201
522024221023311
61205303524001
7133205316061
oct26023644441
97563867061
102957986081
1112887847a6
126a6759601
13381a9412b
14200bcb3a1
15124a454c1
hexb04f4921

2957986081 has 2 divisors, whose sum is σ = 2957986082. Its totient is φ = 2957986080.

The previous prime is 2957986079. The next prime is 2957986103. The reversal of 2957986081 is 1806897592.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2906935056 + 51051025 = 53916^2 + 7145^2 .

It is a cyclic number.

It is not a de Polignac number, because 2957986081 - 21 = 2957986079 is a prime.

It is a super-2 number, since 2×29579860812 = 17499363310779477122, which contains 22 as substring.

Together with 2957986079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2957983081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1478993040 + 1478993041.

It is an arithmetic number, because the mean of its divisors is an integer number (1478993041).

Almost surely, 22957986081 is an apocalyptic number.

It is an amenable number.

2957986081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2957986081 is an equidigital number, since it uses as much as digits as its factorization.

2957986081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 55.

The square root of 2957986081 is about 54387.3706020065. The cubic root of 2957986081 is about 1435.4851651394.

The spelling of 2957986081 in words is "two billion, nine hundred fifty-seven million, nine hundred eighty-six thousand, eighty-one".