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28138787711325 = 3252612050184897
BaseRepresentation
bin1100110010111100100100…
…11100100010100101011101
310200122001010111102010211200
412121132102130202211131
512142011214123230300
6135502440340310113
75632650251101134
oct631362234424535
9120561114363750
1028138787711325
118a696580a4a45
1231a559b0a2339
1312916265621b5
146d3cd311a91b
1533be4b3a6200
hex19979272295d

28138787711325 has 36 divisors (see below), whose sum is σ = 51225919861428. Its totient is φ = 14761331251200.

The previous prime is 28138787711291. The next prime is 28138787711383. The reversal of 28138787711325 is 52311778783182.

28138787711325 is a `hidden beast` number, since 2 + 81 + 387 + 87 + 71 + 1 + 32 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3644781175161 + 24494006536164 = 1909131^2 + 4949142^2 .

It is not a de Polignac number, because 28138787711325 - 216 = 28138787645789 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1025078724 + ... + 1025106173.

It is an arithmetic number, because the mean of its divisors is an integer number (1422942218373).

Almost surely, 228138787711325 is an apocalyptic number.

28138787711325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28138787711325 is a deficient number, since it is larger than the sum of its proper divisors (23087132150103).

28138787711325 is a wasteful number, since it uses less digits than its factorization.

28138787711325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050184974 (or 2050184966 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 63.

The spelling of 28138787711325 in words is "twenty-eight trillion, one hundred thirty-eight billion, seven hundred eighty-seven million, seven hundred eleven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 305 549 915 1525 2745 4575 13725 2050184897 6150554691 10250924485 18451664073 30752773455 51254622425 92258320365 125061278717 153763867275 375183836151 461291601825 625306393585 1125551508453 1875919180755 3126531967925 5627757542265 9379595903775 28138787711325