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27289316745 = 36567131853
BaseRepresentation
bin11001011010100100…
…011110110110001001
32121102211122221000000
4121122210132312021
5421342031113440
620311520433213
71654153236135
oct313244366611
977384587000
1027289316745
1110634120639
125357178809
13275b90ab02
14146c4343c5
15a9ab83730
hex65a91ed89

27289316745 has 112 divisors (see below), whose sum is σ = 50270375232. Its totient is φ = 14210951040.

The previous prime is 27289316729. The next prime is 27289316749. The reversal of 27289316745 is 54761398272.

It is a happy number.

27289316745 is a `hidden beast` number, since 2 + 7 + 289 + 316 + 7 + 45 = 666.

It is not a de Polignac number, because 27289316745 - 24 = 27289316729 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27289316691 and 27289316700.

It is not an unprimeable number, because it can be changed into a prime (27289316749) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31991739 + ... + 31992591.

It is an arithmetic number, because the mean of its divisors is an integer number (448842636).

Almost surely, 227289316745 is an apocalyptic number.

It is an amenable number.

27289316745 is a deficient number, since it is larger than the sum of its proper divisors (22981058487).

27289316745 is an equidigital number, since it uses as much as digits as its factorization.

27289316745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1059 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27289316745 in words is "twenty-seven billion, two hundred eighty-nine million, three hundred sixteen thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 67 81 131 135 201 243 335 393 405 603 655 729 853 1005 1179 1215 1809 1965 2559 3015 3537 3645 4265 5427 5895 7677 8777 9045 10611 12795 16281 17685 23031 26331 27135 31833 38385 43885 48843 53055 57151 69093 78993 81405 95499 111743 115155 131655 159165 171453 207279 236979 244215 285755 335229 345465 394965 477495 514359 558715 621837 710937 857265 1005687 1036395 1184895 1543077 1676145 2132811 2571795 3017061 3109185 3554685 4629231 5028435 6398433 7486781 7715385 9051183 10664055 13887693 15085305 22460343 23146155 27153549 31992165 37433905 41663079 45255915 67381029 69438465 81460647 112301715 135767745 202143087 208315395 336905145 407303235 606429261 1010715435 1819287783 3032146305 5457863349 9096438915 27289316745