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27399728525 = 5213192298053
BaseRepresentation
bin11001100001001001…
…101010110110001101
32121201112102102111012
4121201021222312031
5422103312303100
620330503135005
71656663564311
oct314111526615
977645372435
1027399728525
1110690483644
125388144465
132778758720
14147cd75b41
15aa56e3135
hex66126ad8d

27399728525 has 72 divisors (see below), whose sum is σ = 39952833480. Its totient is φ = 18505428480.

The previous prime is 27399728519. The next prime is 27399728539. The reversal of 27399728525 is 52582799372.

It can be written as a sum of positive squares in 12 ways, for example, as 8045910601 + 19353817924 = 89699^2 + 139118^2 .

It is not a de Polignac number, because 27399728525 - 226 = 27332619661 is a prime.

It is a super-3 number, since 3×273997285253 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3398399 + ... + 3406451.

It is an arithmetic number, because the mean of its divisors is an integer number (554900465).

Almost surely, 227399728525 is an apocalyptic number.

27399728525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27399728525 is a deficient number, since it is larger than the sum of its proper divisors (12553104955).

27399728525 is a wasteful number, since it uses less digits than its factorization.

27399728525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8119 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 59.

The spelling of 27399728525 in words is "twenty-seven billion, three hundred ninety-nine million, seven hundred twenty-eight thousand, five hundred twenty-five".

Divisors: 1 5 13 19 25 29 65 95 145 247 325 361 377 475 551 725 1235 1805 1885 2755 4693 6175 7163 8053 9025 9425 10469 13775 23465 35815 40265 52345 104689 117325 136097 153007 179075 201325 233537 261725 523445 680485 765035 1167685 1989091 2617225 2907133 3035981 3402425 3825175 4437203 5838425 9945455 14535665 15179905 22186015 37792729 49727275 57683639 72678325 75899525 84306857 110930075 188963645 288418195 421534285 944818225 1095989141 1442090975 2107671425 5479945705 27399728525