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27066412032 = 210311800971
BaseRepresentation
bin11001001101010010…
…001010110000000000
32120212022020012012220
4121031102022300000
5420413000141112
620233435051040
71645505464152
oct311522126000
976768205186
1027066412032
111052a313a70
1252b45a0a80
13272469422a
14144a9acad2
15a8630298c
hex64d48ac00

27066412032 has 88 divisors (see below), whose sum is σ = 78700304832. Its totient is φ = 8201932800.

The previous prime is 27066412027. The next prime is 27066412039. The reversal of 27066412032 is 23021466072.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 27066411984 and 27066412002.

It is not an unprimeable number, because it can be changed into a prime (27066412039) 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, 366694 + ... + 434277.

Almost surely, 227066412032 is an apocalyptic number.

27066412032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27066412032 is an abundant number, since it is smaller than the sum of its proper divisors (51633892800).

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

27066412032 is a wasteful number, since it uses less digits than its factorization.

27066412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801005 (or 800987 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 27066412032 in words is "twenty-seven billion, sixty-six million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 16896 33792 800971 1601942 2402913 3203884 4805826 6407768 8810681 9611652 12815536 17621362 19223304 25631072 26432043 35242724 38446608 51262144 52864086 70485448 76893216 102524288 105728172 140970896 153786432 205048576 211456344 281941792 307572864 410097152 422912688 563883584 615145728 820194304 845825376 1127767168 1230291456 1691650752 2255534336 2460582912 3383301504 4511068672 6766603008 9022137344 13533206016 27066412032