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12164175023 = 711132934771
BaseRepresentation
bin10110101010000101…
…01001010010101111
31011101202001010010212
423111002221102233
5144403012100043
65331012253035
7610303532060
oct132502512257
934352033125
1012164175023
1151823a5810
12243591117b
1311bb187700
14835756567
154b2da0018
hex2d50a94af

12164175023 has 24 divisors (see below), whose sum is σ = 16422074496. Its totient is φ = 8749447200.

The previous prime is 12164175011. The next prime is 12164175029. The reversal of 12164175023 is 32057146121.

12164175023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12164175023 - 24 = 12164175007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164175029) 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 23 ways as a sum of consecutive naturals, for example, 454373 + ... + 480398.

It is an arithmetic number, because the mean of its divisors is an integer number (684253104).

Almost surely, 212164175023 is an apocalyptic number.

12164175023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12164175023 is a deficient number, since it is larger than the sum of its proper divisors (4257899473).

12164175023 is a wasteful number, since it uses less digits than its factorization.

12164175023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934815 (or 934802 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 12164175023 in words is "twelve billion, one hundred sixty-four million, one hundred seventy-five thousand, twenty-three".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 13013 934771 6543397 10282481 12152023 71977367 85064161 133672253 157976299 935705771 1105834093 1737739289 12164175023