Search a number
-
+
4633620217 is a prime number
BaseRepresentation
bin1000101000010111…
…10110111011111001
3102221220222021222121
410110023312323321
533442201321332
62043442321241
7222553056562
oct42413667371
912856867877
104633620217
111a686154a6
12a93959221
1358ac8c015
1431d56d169
151c1bd4797
hex1142f6ef9

4633620217 has 2 divisors, whose sum is σ = 4633620218. Its totient is φ = 4633620216.

The previous prime is 4633620209. The next prime is 4633620239. The reversal of 4633620217 is 7120263364.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3082914576 + 1550705641 = 55524^2 + 39379^2 .

It is a cyclic number.

It is not a de Polignac number, because 4633620217 - 23 = 4633620209 is a prime.

It is a super-3 number, since 3×46336202173 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4633620287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2316810108 + 2316810109.

It is an arithmetic number, because the mean of its divisors is an integer number (2316810109).

Almost surely, 24633620217 is an apocalyptic number.

It is an amenable number.

4633620217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4633620217 is an equidigital number, since it uses as much as digits as its factorization.

4633620217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 4633620217 is about 68070.7001359616. The cubic root of 4633620217 is about 1667.1453996268.

The spelling of 4633620217 in words is "four billion, six hundred thirty-three million, six hundred twenty thousand, two hundred seventeen".