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12729274000000 = 27566364637
BaseRepresentation
bin1011100100111100001111…
…0110101110001010000000
31200001220110222202210010121
42321033003312232022000
53132024023121000000
643023425302510024
72452442163514555
oct271170366561200
950056428683117
1012729274000000
114068500359a28
121517028135314
137144999ab0cc
14320158b46a2c
151711b6ee5b1a
hexb93c3dae280

12729274000000 has 112 divisors (see below), whose sum is σ = 31698474918390. Its totient is φ = 5091708800000.

The previous prime is 12729273999977. The next prime is 12729274000031. The reversal of 12729274000000 is 47292721.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 7572051013696 + 5157222986304 = 2751736^2 + 2270952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12729274000000.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1182319 + ... + 5182318.

Almost surely, 212729274000000 is an apocalyptic number.

12729274000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12729274000000 is an abundant number, since it is smaller than the sum of its proper divisors (18969200918390).

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

12729274000000 is an frugal number, since it uses more digits than its factorization.

12729274000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364681 (or 6364644 counting only the distinct ones).

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

The spelling of 12729274000000 in words is "twelve trillion, seven hundred twenty-nine billion, two hundred seventy-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 6364637 12729274 25458548 31823185 50917096 63646370 101834192 127292740 159115925 203668384 254585480 318231850 407336768 509170960 636463700 795579625 814673536 1018341920 1272927400 1591159250 2036683840 2545854800 3182318500 3977898125 4073367680 5091709600 6364637000 7955796250 10183419200 12729274000 15911592500 19889490625 20366838400 25458548000 31823185000 39778981250 50917096000 63646370000 79557962500 99447453125 101834192000 127292740000 159115925000 198894906250 254585480000 318231850000 397789812500 509170960000 636463700000 795579625000 1272927400000 1591159250000 2545854800000 3182318500000 6364637000000 12729274000000