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27860406040 = 2351928272333
BaseRepresentation
bin11001111100100111…
…000000111100011000
32122220122021021020101
4121330213000330120
5424024230443130
620444321105144
72004256354405
oct317447007430
978818237211
1027860406040
11108a7522465
1254964881b4
13282002347c
1414c42132ac
15ad0d901ca
hex67c9c0f18

27860406040 has 96 divisors (see below), whose sum is σ = 66267208080. Its totient is φ = 10540341504.

The previous prime is 27860406011. The next prime is 27860406047. The reversal of 27860406040 is 4060406872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27860406047) 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 23 ways as a sum of consecutive naturals, for example, 11940714 + ... + 11943046.

Almost surely, 227860406040 is an apocalyptic number.

27860406040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27860406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33133604040).

27860406040 is an abundant number, since it is smaller than the sum of its proper divisors (38406802040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27860406040 is a wasteful number, since it uses less digits than its factorization.

27860406040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 27860406040 in words is "twenty-seven billion, eight hundred sixty million, four hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 827 1444 1654 1805 2333 2888 3308 3610 4135 4666 6616 7220 8270 9332 11665 14440 15713 16540 18664 23330 31426 33080 44327 46660 62852 78565 88654 93320 125704 157130 177308 221635 298547 314260 354616 443270 597094 628520 842213 886540 1194188 1492735 1684426 1773080 1929391 2388376 2985470 3368852 3858782 4211065 5970940 6737704 7717564 8422130 9646955 11941880 15435128 16844260 19293910 33688520 36658429 38587820 73316858 77175640 146633716 183292145 293267432 366584290 696510151 733168580 1393020302 1466337160 2786040604 3482550755 5572081208 6965101510 13930203020 27860406040