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9146116419 = 311225195913
BaseRepresentation
bin10001000010010011…
…01010100101000011
3212121102000212001120
420201021222211003
5122212401211134
64111321003323
7442435464306
oct104111524503
925542025046
109146116419
113973820700
121933023543
13b29b1c60b
1462a9acb3d
15387e40649
hex22126a943

9146116419 has 12 divisors (see below), whose sum is σ = 13404226248. Its totient is φ = 5543100640.

The previous prime is 9146116373. The next prime is 9146116429.

9146116419 is nontrivially palindromic in base 10.

9146116419 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9146116419 - 211 = 9146114371 is a prime.

It is a super-2 number, since 2×91461164192 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9146116429) 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 11 ways as a sum of consecutive naturals, for example, 12597594 + ... + 12598319.

It is an arithmetic number, because the mean of its divisors is an integer number (1117018854).

Almost surely, 29146116419 is an apocalyptic number.

9146116419 is a deficient number, since it is larger than the sum of its proper divisors (4258109829).

9146116419 is a wasteful number, since it uses less digits than its factorization.

9146116419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25195938 (or 25195927 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 9146116419 is about 95635.3303910223. The cubic root of 9146116419 is about 2091.2802774417.

It can be divided in two parts, 91461 and 16419, that added together give a triangular number (107880 = T464).

The spelling of 9146116419 in words is "nine billion, one hundred forty-six million, one hundred sixteen thousand, four hundred nineteen".

Divisors: 1 3 11 33 121 363 25195913 75587739 277155043 831465129 3048705473 9146116419