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4633315441 is a prime number
BaseRepresentation
bin1000101000010101…
…01100100001110001
3102221220101210220121
410110022230201301
533442112043231
62043432010241
7222550350166
oct42412544161
912856353817
104633315441
111a68427517
12a93830981
1358abb3391
1431d4d006d
151c1b74311
hex1142ac871

4633315441 has 2 divisors, whose sum is σ = 4633315442. Its totient is φ = 4633315440.

The previous prime is 4633315411. The next prime is 4633315457. The reversal of 4633315441 is 1445133364.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3166425441 + 1466890000 = 56271^2 + 38300^2 .

It is a cyclic number.

It is not a de Polignac number, because 4633315441 - 25 = 4633315409 is a prime.

It is a super-3 number, since 3×46333154413 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4633315397 and 4633315406.

It is not a weakly prime, because it can be changed into another prime (4633315411) 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, 2316657720 + 2316657721.

It is an arithmetic number, because the mean of its divisors is an integer number (2316657721).

Almost surely, 24633315441 is an apocalyptic number.

It is an amenable number.

4633315441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4633315441 is an equidigital number, since it uses as much as digits as its factorization.

4633315441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 34.

The square root of 4633315441 is about 68068.4614267136. The cubic root of 4633315441 is about 1667.1088467068.

The spelling of 4633315441 in words is "four billion, six hundred thirty-three million, three hundred fifteen thousand, four hundred forty-one".