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27484085376 = 27351180329
BaseRepresentation
bin11001100110001011…
…011101110010000000
32121221102011012100000
4121212023131302000
5422241411213001
620343115200000
71662036604536
oct314613356200
977842135300
1027484085376
1110724060150
1253b0446000
132790082c17
14148a254156
15aacd07a86
hex6662ddc80

27484085376 has 192 divisors, whose sum is σ = 89474767200. Its totient is φ = 8328407040.

The previous prime is 27484085341. The next prime is 27484085399. The reversal of 27484085376 is 67358048472.

27484085376 is a `hidden beast` number, since 27 + 4 + 84 + 0 + 8 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×274840853762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301980 + ... + 382308.

Almost surely, 227484085376 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 27484085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44737383600).

27484085376 is an abundant number, since it is smaller than the sum of its proper divisors (61990681824).

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

27484085376 is an equidigital number, since it uses as much as digits as its factorization.

27484085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80369 (or 80345 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 27484085376 in words is "twenty-seven billion, four hundred eighty-four million, eighty-five thousand, three hundred seventy-six".