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168003672409 = 303760739109
BaseRepresentation
bin1001110001110111001…
…1001001100101011001
3121001122110112211111101
42130131303021211121
510223032420004114
6205102501431401
715065200440046
oct2343563114531
9531573484441
10168003672409
1165282769761
122868810b561
1312ac5497461
1481ba8961cd
154584460d74
hex271dcc9959

168003672409 has 8 divisors (see below), whose sum is σ = 168105117320. Its totient is φ = 167902263936.

The previous prime is 168003672401. The next prime is 168003672467. The reversal of 168003672409 is 904276300861.

It can be written as a sum of positive squares in 4 ways, for example, as 53732630809 + 114271041600 = 231803^2 + 338040^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(168003672409) divides (168003672409-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 168003672409 - 23 = 168003672401 is a prime.

It is a deceptive number, since it divides R168003672408.

It is not an unprimeable number, because it can be changed into a prime (168003672401) by changing a digit.

It is a Zeisel number, with parameters (1, 3036).

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18439147 + ... + 18448255.

It is an arithmetic number, because the mean of its divisors is an integer number (21013139665).

It is a Poulet number, since it divides 2168003672408-1.

Almost surely, 2168003672409 is an apocalyptic number.

It is an amenable number.

168003672409 is a deficient number, since it is larger than the sum of its proper divisors (101444911).

168003672409 is an equidigital number, since it uses as much as digits as its factorization.

168003672409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18219.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 168003672409 in words is "one hundred sixty-eight billion, three million, six hundred seventy-two thousand, four hundred nine".

Divisors: 1 3037 6073 9109 18443701 27664033 55318957 168003672409