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12729274000 = 24536364637
BaseRepresentation
bin10111101101011100…
…10100111010010000
31012212010101010012121
423312232110322100
5202032143232000
65503040304024
7630305021002
oct136656247220
935763333177
1012729274000
115442385a63
122573012014
13127b2835c1
1488a816372
154e77c6b1a
hex2f6b94e90

12729274000 has 40 divisors (see below), whose sum is σ = 30779389368. Its totient is φ = 5091708800.

The previous prime is 12729273967. The next prime is 12729274009. The reversal of 12729274000 is 47292721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 940526224 + 11788747776 = 30668^2 + 108576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12729274009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3180319 + ... + 3184318.

Almost surely, 212729274000 is an apocalyptic number.

12729274000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12729274000 is an abundant number, since it is smaller than the sum of its proper divisors (18050115368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12729274000 is an equidigital number, since it uses as much as digits as its factorization.

12729274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6364660 (or 6364644 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 12729274000 in words is "twelve billion, seven hundred twenty-nine million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6364637 12729274 25458548 31823185 50917096 63646370 101834192 127292740 159115925 254585480 318231850 509170960 636463700 795579625 1272927400 1591159250 2545854800 3182318500 6364637000 12729274000