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4057740961 is a prime number
BaseRepresentation
bin1111000111011100…
…0011011010100001
3101110210100121011021
43301313003122201
531302240202321
61510351245441
7202361141401
oct36167033241
911423317137
104057740961
1117a254192a
12952b19881
134c888a371
142a6ca4801
1518b37d941
hexf1dc36a1

4057740961 has 2 divisors, whose sum is σ = 4057740962. Its totient is φ = 4057740960.

The previous prime is 4057740949. The next prime is 4057741019. The reversal of 4057740961 is 1690477504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4013982736 + 43758225 = 63356^2 + 6615^2 .

It is a cyclic number.

It is not a de Polignac number, because 4057740961 - 231 = 1910257313 is a prime.

It is not a weakly prime, because it can be changed into another prime (4057743961) 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, 2028870480 + 2028870481.

It is an arithmetic number, because the mean of its divisors is an integer number (2028870481).

Almost surely, 24057740961 is an apocalyptic number.

It is an amenable number.

4057740961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057740961 is an equidigital number, since it uses as much as digits as its factorization.

4057740961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 4057740961 is about 63700.4000065934. The cubic root of 4057740961 is about 1595.0027628087.

The spelling of 4057740961 in words is "four billion, fifty-seven million, seven hundred forty thousand, nine hundred sixty-one".