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27027027027027 = 3331412712906161
BaseRepresentation
bin1100010010100101110000…
…10110000110010001010011
310112200202110222112201012000
412021102320112012101103
512020302322404331102
6133252013402405043
75456431632152226
oct611227026062123
9115622428481160
1027027027027027
118680109188855
123046028800783
13121083a093941
14696187b2d5bd
1531d07d1a801c
hex1894b8586453

27027027027027 has 64 divisors (see below), whose sum is σ = 42495993200640. Its totient is φ = 16948725120000.

The previous prime is 27027027026999. The next prime is 27027027027067. The reversal of 27027027027027 is 72072072072072.

27027027027027 is a `hidden beast` number, since 2 + 70 + 27 + 0 + 270 + 270 + 27 = 666.

It is not a de Polignac number, because 27027027027027 - 220 = 27027025978451 is a prime.

27027027027027 is a modest number, since divided by 27027027 gives 27027 as remainder.

It is not an unprimeable number, because it can be changed into a prime (27027027027067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7846827 + ... + 10752987.

It is an arithmetic number, because the mean of its divisors is an integer number (663999893760).

Almost surely, 227027027027027 is an apocalyptic number.

27027027027027 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

27027027027027 is a deficient number, since it is larger than the sum of its proper divisors (15468966173613).

27027027027027 is a wasteful number, since it uses less digits than its factorization.

27027027027027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906513 (or 2906507 counting only the distinct ones).

The product of its (nonzero) digits is 537824, while the sum is 45.

Adding to 27027027027027 its reverse (72072072072072), we get a palindrome (99099099099099).

The spelling of 27027027027027 in words is "twenty-seven trillion, twenty-seven billion, twenty-seven million, twenty-seven thousand, twenty-seven".

Divisors: 1 3 9 27 31 41 93 123 271 279 369 813 837 1107 1271 2439 3813 7317 8401 11111 11439 25203 33333 34317 75609 99999 226827 299997 344441 1033323 2906161 3099969 8718483 9299907 26155449 78466347 90090991 119152601 270272973 357457803 787569631 810818919 1072373409 2362708893 2432456757 3217120227 3693730631 7088126679 11081191893 21264380037 24414658561 32290354871 33243575679 73243975683 96871064613 99730727037 219731927049 290613193839 659195781147 871839581517 1001001001001 3003003003003 9009009009009 27027027027027