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1272291712 = 2729253223
BaseRepresentation
bin100101111010101…
…1010000110000000
310021200001010010021
41023311122012000
510101201313322
6330125343224
743346205166
oct11365320600
93250033107
101272291712
115a31a265a
122b6107b14
13173786143
14c0d8b236
1576a6a4c7
hex4bd5a180

1272291712 has 96 divisors (see below), whose sum is σ = 2686582080. Its totient is φ = 599918592.

The previous prime is 1272291707. The next prime is 1272291719. The reversal of 1272291712 is 2171922721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272291719) 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, 5705233 + ... + 5705455.

It is an arithmetic number, because the mean of its divisors is an integer number (27985230).

Almost surely, 21272291712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343291040).

1272291712 is an abundant number, since it is smaller than the sum of its proper divisors (1414290368).

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

1272291712 is an equidigital number, since it uses as much as digits as its factorization.

1272291712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 307 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 1272291712 is about 35669.1983649759. The cubic root of 1272291712 is about 1083.5831242433.

The spelling of 1272291712 in words is "one billion, two hundred seventy-two million, two hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 128 212 223 232 424 446 464 841 848 892 928 1537 1682 1696 1784 1856 3074 3364 3392 3568 3712 6148 6467 6728 6784 7136 11819 12296 12934 13456 14272 23638 24592 25868 26912 28544 44573 47276 49184 51736 53824 89146 94552 98368 103472 107648 178292 187543 189104 196736 206944 342751 356584 375086 378208 413888 685502 713168 750172 756416 827776 1371004 1426336 1500344 1512832 2742008 2852672 3000688 5484016 5705344 6001376 9939779 10968032 12002752 19879558 21936064 24005504 39759116 43872128 79518232 159036464 318072928 636145856 1272291712