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4187166041 = 41212947969
BaseRepresentation
bin1111100110010011…
…0001010101011001
3101210210220001222202
43321210301111121
532033403303131
61531253255545
7205522216112
oct37144612531
911723801882
104187166041
111859600903
1298a3345b5
13519634256
142ba155209
151978e6bcb
hexf9931559

4187166041 has 8 divisors (see below), whose sum is σ = 4291396200. Its totient is φ = 4083036160.

The previous prime is 4187166029. The next prime is 4187166043. The reversal of 4187166041 is 1406617814.

It can be written as a sum of positive squares in 4 ways, for example, as 60388441 + 4126777600 = 7771^2 + 64240^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4187166041 is a prime.

It is a super-2 number, since 2×41871660412 = 35064718909807227362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4187165986 and 4187166004.

It is not an unprimeable number, because it can be changed into a prime (4187166043) 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 7 ways as a sum of consecutive naturals, for example, 63305 + ... + 111273.

It is an arithmetic number, because the mean of its divisors is an integer number (536424525).

Almost surely, 24187166041 is an apocalyptic number.

4187166041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4187166041 is a deficient number, since it is larger than the sum of its proper divisors (104230159).

4187166041 is a wasteful number, since it uses less digits than its factorization.

4187166041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50139.

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 4187166041 is about 64708.3150839210. The cubic root of 4187166041 is about 1611.7835822045.

The spelling of 4187166041 in words is "four billion, one hundred eighty-seven million, one hundred sixty-six thousand, forty-one".

Divisors: 1 41 2129 47969 87289 1966729 102126001 4187166041