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3628627217 is a prime number
BaseRepresentation
bin1101100001001000…
…0111010100010001
3100100212220100202122
43120102013110101
524412412032332
61400022024025
7155630552045
oct33022072421
910325810678
103628627217
1115a22a1376
12853278015
1345a9c42c7
14265cc2025
15163868c12
hexd8487511

3628627217 has 2 divisors, whose sum is σ = 3628627218. Its totient is φ = 3628627216.

The previous prime is 3628627193. The next prime is 3628627297. The reversal of 3628627217 is 7127268263.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2499600016 + 1129027201 = 49996^2 + 33601^2 .

It is a cyclic number.

It is not a de Polignac number, because 3628627217 - 26 = 3628627153 is a prime.

It is a super-3 number, since 3×36286272173 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3628627297) 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, 1814313608 + 1814313609.

It is an arithmetic number, because the mean of its divisors is an integer number (1814313609).

Almost surely, 23628627217 is an apocalyptic number.

It is an amenable number.

3628627217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3628627217 is an equidigital number, since it uses as much as digits as its factorization.

3628627217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 338688, while the sum is 44.

The square root of 3628627217 is about 60238.0877601539. The cubic root of 3628627217 is about 1536.6706080135.

The spelling of 3628627217 in words is "three billion, six hundred twenty-eight million, six hundred twenty-seven thousand, two hundred seventeen".