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12004526743 = 1119417713751
BaseRepresentation
bin10110010111000011…
…01000101010010111
31010222121122010212121
423023201220222113
5144041124323433
65303110400411
7603324536146
oct131341505227
933877563777
1012004526743
115100273690
1223b0360107
13119408b081
1481c47975d
154a3d66c2d
hex2cb868a97

12004526743 has 16 divisors (see below), whose sum is σ = 13789405440. Its totient is φ = 10335600000.

The previous prime is 12004526701. The next prime is 12004526749. The reversal of 12004526743 is 34762540021.

12004526743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12004526743 is a prime.

It is a super-4 number, since 4×120045267434 (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12004526699 and 12004526708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004526749) 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 15 ways as a sum of consecutive naturals, for example, 866118 + ... + 879868.

It is an arithmetic number, because the mean of its divisors is an integer number (861837840).

Almost surely, 212004526743 is an apocalyptic number.

12004526743 is a deficient number, since it is larger than the sum of its proper divisors (1784878697).

12004526743 is a wasteful number, since it uses less digits than its factorization.

12004526743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17958.

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 12004526743 in words is "twelve billion, four million, five hundred twenty-six thousand, seven hundred forty-three".

Divisors: 1 11 19 209 4177 13751 45947 79363 151261 261269 872993 2873959 57437927 631817197 1091320613 12004526743