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8233390145 = 529401141601
BaseRepresentation
bin1111010101011111…
…11001000001000001
3210020210120112222202
413222233321001001
5113330221441040
63440554042545
7411013442621
oct75257710101
923223515882
108233390145
113545596972
121719419455
13a129bb4b6
1458169c881
15332c4d015
hex1eabf9041

8233390145 has 16 divisors (see below), whose sum is σ = 10246320720. Its totient is φ = 6343680000.

The previous prime is 8233390133. The next prime is 8233390157. The reversal of 8233390145 is 5410933328.

It is an interprime number because it is at equal distance from previous prime (8233390133) and next prime (8233390157).

It can be written as a sum of positive squares in 8 ways, for example, as 2911249936 + 5322140209 = 53956^2 + 72953^2 .

It is not a de Polignac number, because 8233390145 - 214 = 8233373761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8233390099 and 8233390108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12656 + ... + 128945.

It is an arithmetic number, because the mean of its divisors is an integer number (640395045).

Almost surely, 28233390145 is an apocalyptic number.

It is an amenable number.

8233390145 is a deficient number, since it is larger than the sum of its proper divisors (2012930575).

8233390145 is a wasteful number, since it uses less digits than its factorization.

8233390145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142036.

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 8233390145 is about 90738.0303125432. The cubic root of 8233390145 is about 2019.2630505381.

The spelling of 8233390145 in words is "eight billion, two hundred thirty-three million, three hundred ninety thousand, one hundred forty-five".

Divisors: 1 5 29 145 401 2005 11629 58145 141601 708005 4106429 20532145 56782001 283910005 1646678029 8233390145