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27260132849 = 294122926941
BaseRepresentation
bin11001011000110101…
…001001110111110001
32121100210202020012222
4121120311021313301
5421312043222344
620304555130425
71653350206655
oct313065116761
977323666188
1027260132849
11106196a8314
125349443a15
132755860431
1414685d8a65
15a9831b5ee
hex658d49df1

27260132849 has 8 divisors (see below), whose sum is σ = 28887946920. Its totient is φ = 25678172800.

The previous prime is 27260132819. The next prime is 27260132881. The reversal of 27260132849 is 94823106272.

It can be written as a sum of positive squares in 4 ways, for example, as 1212432400 + 26047700449 = 34820^2 + 161393^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27260132849 - 216 = 27260067313 is a prime.

It is a super-2 number, since 2×272601328492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27260132819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11462282 + ... + 11464659.

It is an arithmetic number, because the mean of its divisors is an integer number (3610993365).

Almost surely, 227260132849 is an apocalyptic number.

27260132849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27260132849 is a deficient number, since it is larger than the sum of its proper divisors (1627814071).

27260132849 is a wasteful number, since it uses less digits than its factorization.

27260132849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927011.

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 27260132849 in words is "twenty-seven billion, two hundred sixty million, one hundred thirty-two thousand, eight hundred forty-nine".

Divisors: 1 29 41 1189 22926941 664881289 940004581 27260132849