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3783630401 is a prime number
BaseRepresentation
bin1110000110000101…
…1001111001000001
3100202200120100011022
43201201121321001
530222102133101
61423240155225
7162522220265
oct34141317101
910680510138
103783630401
111671840581
12897168b15
13483b55575
1427c7100a5
15172285a1b
hexe1859e41

3783630401 has 2 divisors, whose sum is σ = 3783630402. Its totient is φ = 3783630400.

The previous prime is 3783630349. The next prime is 3783630407. The reversal of 3783630401 is 1040363873.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2743245376 + 1040385025 = 52376^2 + 32255^2 .

It is a cyclic number.

It is not a de Polignac number, because 3783630401 - 26 = 3783630337 is a prime.

It is a super-2 number, since 2×37836304012 = 28631718022742841602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3783630407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1891815200 + 1891815201.

It is an arithmetic number, because the mean of its divisors is an integer number (1891815201).

Almost surely, 23783630401 is an apocalyptic number.

It is an amenable number.

3783630401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3783630401 is an equidigital number, since it uses as much as digits as its factorization.

3783630401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 3783630401 is about 61511.2217485558. The cubic root of 3783630401 is about 1558.2467703455.

The spelling of 3783630401 in words is "three billion, seven hundred eighty-three million, six hundred thirty thousand, four hundred one".