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3613073600441 is a prime number
BaseRepresentation
bin110100100100111011111…
…101111110111110111001
3110210101222022102001020002
4310210323331332332321
5433144033320203231
611403453442242345
7522015221610224
oct64447375767671
913711868361202
103613073600441
111173328944838
124a42a30563b5
13202932b8b656
14c6c335c45bb
1563eb72010cb
hex3493bf7efb9

3613073600441 has 2 divisors, whose sum is σ = 3613073600442. Its totient is φ = 3613073600440.

The previous prime is 3613073600329. The next prime is 3613073600449. The reversal of 3613073600441 is 1440063703163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3465480096400 + 147593504041 = 1861580^2 + 384179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3613073600441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3613073600395 and 3613073600404.

It is not a weakly prime, because it can be changed into another prime (3613073600449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1806536800220 + 1806536800221.

It is an arithmetic number, because the mean of its divisors is an integer number (1806536800221).

Almost surely, 23613073600441 is an apocalyptic number.

It is an amenable number.

3613073600441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3613073600441 is an equidigital number, since it uses as much as digits as its factorization.

3613073600441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 3613073600441 in words is "three trillion, six hundred thirteen billion, seventy-three million, six hundred thousand, four hundred forty-one".