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27066436225 = 5219239725541
BaseRepresentation
bin11001001101010010…
…010000101010000001
32120212022021102101221
4121031102100222001
5420413001424400
620233435355041
71645505624533
oct311522205201
976768242357
1027066436225
111052a330164
1252b45b2a81
1327246a224a
14144a9b7853
15a86309c1a
hex64d490a81

27066436225 has 48 divisors (see below), whose sum is σ = 37246366080. Its totient is φ = 19418572800.

The previous prime is 27066436207. The next prime is 27066436249. The reversal of 27066436225 is 52263466072.

It is a happy number.

It is not a de Polignac number, because 27066436225 - 29 = 27066435713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046955 + ... + 1072495.

It is an arithmetic number, because the mean of its divisors is an integer number (775965960).

Almost surely, 227066436225 is an apocalyptic number.

27066436225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27066436225 is a deficient number, since it is larger than the sum of its proper divisors (10179929855).

27066436225 is a wasteful number, since it uses less digits than its factorization.

27066436225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25690 (or 25685 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 27066436225 in words is "twenty-seven billion, sixty-six million, four hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 5 19 23 25 95 97 115 437 475 485 575 1843 2185 2231 2425 9215 10925 11155 25541 42389 46075 55775 127705 211945 485279 587443 638525 1059725 2426395 2477477 2937215 11161417 12131975 12387385 14686075 47072063 55807085 56981971 61936925 235360315 279035425 284909855 1082657449 1176801575 1424549275 5413287245 27066436225