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27478087472 = 24112101140527
BaseRepresentation
bin11001100101110100…
…100101011100110000
32121220222212110202102
4121211310211130300
5422233342244342
620342342435532
71661634614123
oct314564453460
977828773672
1027478087472
1110720733900
1253aa432ba8
13278ba62b74
1414895323ba
15aac520832
hex665d25730

27478087472 has 60 divisors (see below), whose sum is σ = 59098488288. Its totient is φ = 12366288000.

The previous prime is 27478087471. The next prime is 27478087487.

27478087472 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×274780874722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27478087471) by changing a digit.

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, 125273 + ... + 265799.

Almost surely, 227478087472 is an apocalyptic number.

27478087472 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 27478087472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29549244144).

27478087472 is an abundant number, since it is smaller than the sum of its proper divisors (31620400816).

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

27478087472 is a wasteful number, since it uses less digits than its factorization.

27478087472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140658 (or 140641 counting only the distinct ones).

The product of its (nonzero) digits is 9834496, while the sum is 56.

The spelling of 27478087472 in words is "twenty-seven billion, four hundred seventy-eight million, eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 808 968 1111 1616 1936 2222 4444 8888 12221 17776 24442 48884 97768 140527 195536 281054 562108 1124216 1545797 2248432 3091594 6183188 12366376 14193227 17003767 24732752 28386454 34007534 56772908 68015068 113545816 136030136 156125497 227091632 272060272 312250994 624501988 1249003976 1717380467 2498007952 3434760934 6869521868 13739043736 27478087472