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4638000677 is a prime number
BaseRepresentation
bin1000101000111001…
…00100011000100101
3102222020012211211212
410110130210120211
533444312010202
62044120241205
7222635232602
oct42434443045
912866184755
104638000677
111a70037612
12a95310205
1358bb63acb
1431dd8d6a9
151c229c652
hex114724625

4638000677 has 2 divisors, whose sum is σ = 4638000678. Its totient is φ = 4638000676.

The previous prime is 4638000671. The next prime is 4638000721. The reversal of 4638000677 is 7760008364.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4338329956 + 299670721 = 65866^2 + 17311^2 .

It is a cyclic number.

It is not a de Polignac number, because 4638000677 - 220 = 4636952101 is a prime.

It is a super-2 number, since 2×46380006772 = 43022100559704916658, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4638000671) 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, 2319000338 + 2319000339.

It is an arithmetic number, because the mean of its divisors is an integer number (2319000339).

Almost surely, 24638000677 is an apocalyptic number.

It is an amenable number.

4638000677 is a deficient number, since it is larger than the sum of its proper divisors (1).

4638000677 is an equidigital number, since it uses as much as digits as its factorization.

4638000677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 4638000677 is about 68102.8683463479. The cubic root of 4638000677 is about 1667.6705875155.

The spelling of 4638000677 in words is "four billion, six hundred thirty-eight million, six hundred seventy-seven", and thus it is an aban number.