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27498301216 = 2553100916069
BaseRepresentation
bin11001100111000001…
…101100011100100000
32121222101220102210121
4121213001230130200
5422304031114331
620344344010024
71662301463251
oct314701543440
977871812717
1027498301216
111073108a781
1253b5160914
132792cbc669
14148c0b4b28
15aae1b4c11
hex66706c720

27498301216 has 48 divisors (see below), whose sum is σ = 55216841400. Its totient is φ = 13475524608.

The previous prime is 27498301213. The next prime is 27498301223. The reversal of 27498301216 is 61210389472.

It can be written as a sum of positive squares in 4 ways, for example, as 21065619600 + 6432681616 = 145140^2 + 80204^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (27498301213) 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, 1703230 + ... + 1719298.

Almost surely, 227498301216 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 27498301216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27608420700).

27498301216 is an abundant number, since it is smaller than the sum of its proper divisors (27718540184).

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

27498301216 is a wasteful number, since it uses less digits than its factorization.

27498301216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17141 (or 17133 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 27498301216 in words is "twenty-seven billion, four hundred ninety-eight million, three hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1009 1696 2018 4036 8072 16069 16144 32138 32288 53477 64276 106954 128552 213908 257104 427816 514208 851657 855632 1703314 1711264 3406628 6813256 13626512 16213621 27253024 32427242 64854484 129708968 259417936 518835872 859321913 1718643826 3437287652 6874575304 13749150608 27498301216