Search a number
-
+
4007664937 is a prime number
BaseRepresentation
bin1110111011100000…
…0001110100101001
3101100022010110202201
43232320001310221
531201430234222
61501402100201
7201212406223
oct35670016451
911308113681
104007664937
111777249a91
1293a1aa661
134bb3a6493
142a038b413
15186c8b427
hexeee01d29

4007664937 has 2 divisors, whose sum is σ = 4007664938. Its totient is φ = 4007664936.

The previous prime is 4007664917. The next prime is 4007664961. The reversal of 4007664937 is 7394667004.

4007664937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2412381456 + 1595283481 = 49116^2 + 39941^2 .

It is a cyclic number.

It is not a de Polignac number, because 4007664937 - 27 = 4007664809 is a prime.

It is a super-2 number, since 2×40076649372 = 32122756494518427938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4007664917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003832468 + 2003832469.

It is an arithmetic number, because the mean of its divisors is an integer number (2003832469).

Almost surely, 24007664937 is an apocalyptic number.

It is an amenable number.

4007664937 is a deficient number, since it is larger than the sum of its proper divisors (1).

4007664937 is an equidigital number, since it uses as much as digits as its factorization.

4007664937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 762048, while the sum is 46.

The square root of 4007664937 is about 63306.1208494092. The cubic root of 4007664937 is about 1588.4143490934.

The spelling of 4007664937 in words is "four billion, seven million, six hundred sixty-four thousand, nine hundred thirty-seven".