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27045775936 = 266123372
BaseRepresentation
bin11001001100000011…
…011100101001000000
32120210212101202211001
4121030003130221000
5420342204312221
620231420501344
71645135205464
oct311403345100
976725352731
1027045775936
11105196a9843
1252a96aa854
13272031a41a
141447d5a4a4
15a845c8391
hex64c0dca40

27045775936 has 63 divisors (see below), whose sum is σ = 54725592987. Its totient is φ = 13261731840.

The previous prime is 27045775907. The next prime is 27045775943. The reversal of 27045775936 is 63957754072.

The square root of 27045775936 is 164456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15089665600 + 11956110336 = 122840^2 + 109344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80254360 + ... + 80254696.

Almost surely, 227045775936 is an apocalyptic number.

27045775936 is the 164456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27045775936

27045775936 is an abundant number, since it is smaller than the sum of its proper divisors (27679817051).

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

27045775936 is an frugal number, since it uses more digits than its factorization.

27045775936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 27045775936 in words is "twenty-seven billion, forty-five million, seven hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 337 488 674 976 1348 1952 2696 3721 3904 5392 7442 10784 14884 20557 21568 29768 41114 59536 82228 113569 119072 164456 227138 238144 328912 454276 657824 908552 1253977 1315648 1817104 2507954 3634208 5015908 6927709 7268416 10031816 13855418 20063632 27710836 40127264 55421672 80254528 110843344 221686688 422590249 443373376 845180498 1690360996 3380721992 6761443984 13522887968 27045775936