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27199835872 = 2511212755313
BaseRepresentation
bin11001010101001111…
…001000111011100000
32121012121021211022121
4121111033020323200
5421201124221442
620255002514024
71652015535016
oct312517107340
977177254277
1027199835872
1110598664300
125331205914
13274620b251
1414605c08b6
15a92daa967
hex6553c8ee0

27199835872 has 72 divisors (see below), whose sum is σ = 59324928768. Its totient is φ = 12265989120.

The previous prime is 27199835867. The next prime is 27199835921. The reversal of 27199835872 is 27853899172.

It is a self number, because there is not a number n which added to its sum of digits gives 27199835872.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 464088 + ... + 519400.

It is an arithmetic number, because the mean of its divisors is an integer number (823957344).

Almost surely, 227199835872 is an apocalyptic number.

27199835872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27199835872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29662464384).

27199835872 is an abundant number, since it is smaller than the sum of its proper divisors (32125092896).

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

27199835872 is a wasteful number, since it uses less digits than its factorization.

27199835872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55472 (or 55453 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 61.

The spelling of 27199835872 in words is "twenty-seven billion, one hundred ninety-nine million, eight hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 127 176 242 254 352 484 508 968 1016 1397 1936 2032 2794 3872 4064 5588 11176 15367 22352 30734 44704 55313 61468 110626 122936 221252 245872 442504 491744 608443 885008 1216886 1770016 2433772 4867544 6692873 7024751 9735088 13385746 14049502 19470176 26771492 28099004 53542984 56198008 77272261 107085968 112396016 154544522 214171936 224792032 309089044 618178088 849994871 1236356176 1699989742 2472712352 3399979484 6799958968 13599917936 27199835872