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27142065792 = 2735872623
BaseRepresentation
bin11001010001110010…
…110000111010000000
32121001120120210200000
4121101302300322000
5421041332101132
620245140400000
71650414516102
oct312162607200
977046523600
1027142065792
1110568a96836
1253159a6000
13273726227a
141456a63572
15a8cc9887c
hex651cb0e80

27142065792 has 96 divisors (see below), whose sum is σ = 80996959680. Its totient is φ = 9047344896.

The previous prime is 27142065737. The next prime is 27142065793. The reversal of 27142065792 is 29756024172.

27142065792 is a `hidden beast` number, since 2 + 71 + 4 + 2 + 0 + 6 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (27142065793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405208 + ... + 467415.

It is an arithmetic number, because the mean of its divisors is an integer number (843718330).

Almost surely, 227142065792 is an apocalyptic number.

It is an amenable number.

27142065792 is an abundant number, since it is smaller than the sum of its proper divisors (53854893888).

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

27142065792 is an frugal number, since it uses more digits than its factorization.

27142065792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872652 (or 872628 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27142065792 in words is "twenty-seven billion, one hundred forty-two million, sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 872623 1745246 2617869 3490492 5235738 6980984 7853607 10471476 13961968 15707214 20942952 23560821 27923936 31414428 41885904 47121642 55847872 62828856 70682463 83771808 94243284 111695744 125657712 141364926 167543616 188486568 212047389 251315424 282729852 335087232 376973136 424094778 502630848 565459704 753946272 848189556 1005261696 1130919408 1507892544 1696379112 2261838816 3015785088 3392758224 4523677632 6785516448 9047355264 13571032896 27142065792