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4181000193 = 331511025509
BaseRepresentation
bin1111100100110101…
…0000000000000001
3101210101021211001000
43321031100000001
532030314001233
61530513202213
7205415625636
oct37115200001
911711254030
104181000193
11185607a367
12988260369
13518285916
142b93cc18d
151970c9d13
hexf9350001

4181000193 has 16 divisors (see below), whose sum is σ = 6235100800. Its totient is φ = 2768871600.

The previous prime is 4181000183. The next prime is 4181000227. The reversal of 4181000193 is 3910001814.

It is not a de Polignac number, because 4181000193 - 221 = 4178903041 is a prime.

It is a super-2 number, since 2×41810001932 = 34961525227732074498, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4181000183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508678 + ... + 516831.

It is an arithmetic number, because the mean of its divisors is an integer number (389693800).

It is a Proth number, since it is equal to 63797 ⋅ 216 + 1 and 63797 < 216.

Almost surely, 24181000193 is an apocalyptic number.

It is an amenable number.

4181000193 is a deficient number, since it is larger than the sum of its proper divisors (2054100607).

4181000193 is a wasteful number, since it uses less digits than its factorization.

4181000193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025669 (or 1025663 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 4181000193 is about 64660.6541337157. The cubic root of 4181000193 is about 1610.9920448754.

The spelling of 4181000193 in words is "four billion, one hundred eighty-one million, one hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 27 151 453 1359 4077 1025509 3076527 9229581 27688743 154851859 464555577 1393666731 4181000193