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28290138327 = 341131750997
BaseRepresentation
bin11010010110001110…
…010100000011010111
32201000120212221010000
4122112032110003113
5430414233411302
620555111502343
72021025131253
oct322616240327
981016787100
1028290138327
1110aa8055710
1255963879b3
13288b074c29
141525317263
15b0897831c
hex6963940d7

28290138327 has 20 divisors (see below), whose sum is σ = 46102449096. Its totient is φ = 17145537840.

The previous prime is 28290138323. The next prime is 28290138337. The reversal of 28290138327 is 72383109282.

28290138327 is a `hidden beast` number, since 2 + 8 + 290 + 1 + 38 + 327 = 666.

It is not a de Polignac number, because 28290138327 - 22 = 28290138323 is a prime.

It is a super-3 number, since 3×282901383273 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28290138323) 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 19 ways as a sum of consecutive naturals, for example, 15874608 + ... + 15876389.

Almost surely, 228290138327 is an apocalyptic number.

28290138327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

28290138327 is a deficient number, since it is larger than the sum of its proper divisors (17812310769).

28290138327 is a wasteful number, since it uses less digits than its factorization.

28290138327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31751020 (or 31751011 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28290138327 in words is "twenty-eight billion, two hundred ninety million, one hundred thirty-eight thousand, three hundred twenty-seven".

Divisors: 1 3 9 11 27 33 81 99 297 891 31750997 95252991 285758973 349260967 857276919 1047782901 2571830757 3143348703 9430046109 28290138327