Search a number
-
+
10058349219 = 319176462267
BaseRepresentation
bin10010101111000011…
…00011101010100011
3221221222120002012120
421113201203222203
5131044414133334
64342025155323
7504153362202
oct112741435243
927858502176
1010058349219
1142a1748706
121b4862bb43
13c43b09c39
146b5bd1239
153dd086949
hex257863aa3

10058349219 has 8 divisors (see below), whose sum is σ = 14116981440. Its totient is φ = 6352641576.

The previous prime is 10058349209. The next prime is 10058349263. The reversal of 10058349219 is 91294385001.

10058349219 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a de Polignac number, because none of the positive numbers 2k-10058349219 is a prime.

It is a super-2 number, since 2×100583492192 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10058349209) 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, 88231077 + ... + 88231190.

It is an arithmetic number, because the mean of its divisors is an integer number (1764622680).

Almost surely, 210058349219 is an apocalyptic number.

10058349219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10058349219 is a deficient number, since it is larger than the sum of its proper divisors (4058632221).

10058349219 is a wasteful number, since it uses less digits than its factorization.

10058349219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176462289.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 10058349219 in words is "ten billion, fifty-eight million, three hundred forty-nine thousand, two hundred nineteen".

Divisors: 1 3 19 57 176462267 529386801 3352783073 10058349219