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27045342864 = 2432533543677
BaseRepresentation
bin11001001100000001…
…110010111010010000
32120210211120202202100
4121030001302322100
5420342101432424
620231403320400
71645131423051
oct311401627220
976724522670
1027045342864
1110519433431
1252a9520100
1327201c8277
141447c86728
15a8453edc9
hex64c072e90

27045342864 has 60 divisors (see below), whose sum is σ = 77117520636. Its totient is φ = 8845015296.

The previous prime is 27045342853. The next prime is 27045342871. The reversal of 27045342864 is 46824354072.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15028798464 + 12016544400 = 122592^2 + 109620^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1764207 + ... + 1779470.

Almost surely, 227045342864 is an apocalyptic number.

27045342864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27045342864 is an abundant number, since it is smaller than the sum of its proper divisors (50072177772).

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

27045342864 is a wasteful number, since it uses less digits than its factorization.

27045342864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543744 (or 3543735 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 27045342864 in words is "twenty-seven billion, forty-five million, three hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 3543677 7087354 10631031 14174708 21262062 28349416 31893093 42524124 56698832 63786186 85048248 127572372 170096496 187814881 255144744 375629762 510289488 563444643 751259524 1126889286 1502519048 1690333929 2253778572 3005038096 3380667858 4507557144 6761335716 9015114288 13522671432 27045342864