Search a number
-
+
2245014522513 = 3579173143881
BaseRepresentation
bin100000101010110101010…
…010110000101010010001
321221121202220220012200000
4200222311102300222101
5243240242204210023
64435202340320213
7321124360404030
oct40526522605221
97847686805600
102245014522513
11796118197004
123031229a3069
1313391c7aa889
147a933100717
153d5e82ad243
hex20ab54b0a91

2245014522513 has 48 divisors (see below), whose sum is σ = 3843762738816. Its totient is φ = 1282716673920.

The previous prime is 2245014522497. The next prime is 2245014522533. The reversal of 2245014522513 is 3152254105422.

2245014522513 is a `hidden beast` number, since 2 + 24 + 50 + 14 + 522 + 51 + 3 = 666.

It is not a de Polignac number, because 2245014522513 - 24 = 2245014522497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2245014522533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15531333 + ... + 15675213.

It is an arithmetic number, because the mean of its divisors is an integer number (80078390392).

Almost surely, 22245014522513 is an apocalyptic number.

It is an amenable number.

2245014522513 is a deficient number, since it is larger than the sum of its proper divisors (1598748216303).

2245014522513 is an equidigital number, since it uses as much as digits as its factorization.

2245014522513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153076 (or 153064 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2245014522513 its reverse (3152254105422), we get a palindrome (5397268627935).

The spelling of 2245014522513 in words is "two trillion, two hundred forty-five billion, fourteen million, five hundred twenty-two thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 9173 27519 64211 82557 143881 192633 247671 431643 577899 743013 1007167 1294929 1733697 2229039 3021501 3884787 5201091 9064503 11654361 15603273 27193509 34963083 81580527 244741581 1319820413 3959461239 9238742891 11878383717 27716228673 35635151151 83148686019 106905453453 249446058057 320716360359 748338174171 2245014522513