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4153415809 = 1742232
BaseRepresentation
bin1111011110010000…
…0001100010000001
3101201110101101101011
43313210001202001
532001233301214
61524050040521
7204632310664
oct36744014201
911643341334
104153415809
111841549854
1297ab79141
135126482ba
142b588b6db
1519497bac4
hexf7901881

4153415809 has 15 divisors (see below), whose sum is σ = 4432879173. Its totient is φ = 3891567648.

The previous prime is 4153415801. The next prime is 4153415821. The reversal of 4153415809 is 9085143514.

The square root of 4153415809 is 64447.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1289025409 + 2864390400 = 35903^2 + 53520^2 .

It is not a de Polignac number, because 4153415809 - 23 = 4153415801 is a prime.

It is a super-2 number, since 2×41534158092 = 34501725764902248962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4153415801) 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 in 14 ways as a sum of consecutive naturals, for example, 18625072 + ... + 18625294.

Almost surely, 24153415809 is an apocalyptic number.

4153415809 is the 64447-th square number.

4153415809 is the 32224-th centered octagonal number.

It is an amenable number.

4153415809 is a deficient number, since it is larger than the sum of its proper divisors (279463364).

4153415809 is an frugal number, since it uses more digits than its factorization.

4153415809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The cubic root of 4153415809 is about 1607.4413545454.

The spelling of 4153415809 in words is "four billion, one hundred fifty-three million, four hundred fifteen thousand, eight hundred nine".

Divisors: 1 17 223 289 3791 4913 49729 64447 83521 845393 1095599 14371681 18625183 244318577 4153415809