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27069133729 = 112149572
BaseRepresentation
bin11001001101011100…
…100011001110100001
32120212111100110200111
4121031130203032201
5420414144234404
620234013251321
71645540561141
oct311534431641
976774313614
1027069133729
1110530902900
1252b5493b41
132725107cc1
14144b0ba921
15a8668e104
hex64d7233a1

27069133729 has 9 divisors (see below), whose sum is σ = 29755665331. Its totient is φ = 24606658120.

The previous prime is 27069133717. The next prime is 27069133759. The reversal of 27069133729 is 92733196072.

The square root of 27069133729 is 164527.

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

It can be written as a sum of positive squares in only one way, i.e., 6833502225 + 20235631504 = 82665^2 + 142252^2 .

It is not a de Polignac number, because 27069133729 - 219 = 27068609441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27069133759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1802319 + ... + 1817275.

Almost surely, 227069133729 is an apocalyptic number.

27069133729 is the 164527-th square number.

27069133729 is the 82264-th centered octagonal number.

It is an amenable number.

27069133729 is a deficient number, since it is larger than the sum of its proper divisors (2686531602).

27069133729 is an frugal number, since it uses more digits than its factorization.

27069133729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29936 (or 14968 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 49.

Multiplying 27069133729 by its sum of digits (49), we get a square (1326387552721 = 11516892).

The spelling of 27069133729 in words is "twenty-seven billion, sixty-nine million, one hundred thirty-three thousand, seven hundred twenty-nine".

Divisors: 1 11 121 14957 164527 1809797 223711849 2460830339 27069133729