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27627159140 = 2257297738803
BaseRepresentation
bin11001101110101101…
…001111111001100100
32122022101101002122022
4121232231033321210
5423040023043030
620405225522312
71665424656320
oct315655177144
978271332568
1027627159140
11107978a1629
125430343398
1327b38c8359
1414a1258980
15aba669de5
hex66eb4fe64

27627159140 has 96 divisors (see below), whose sum is σ = 68688103680. Its totient is φ = 9132673536.

The previous prime is 27627159127. The next prime is 27627159151. The reversal of 27627159140 is 4195172672.

It is a junction number, because it is equal to n+sod(n) for n = 27627159091 and 27627159100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3133979 + ... + 3142781.

It is an arithmetic number, because the mean of its divisors is an integer number (715501080).

Almost surely, 227627159140 is an apocalyptic number.

27627159140 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 27627159140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34344051840).

27627159140 is an abundant number, since it is smaller than the sum of its proper divisors (41060944540).

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

27627159140 is a wasteful number, since it uses less digits than its factorization.

27627159140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9621 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 27627159140 in words is "twenty-seven billion, six hundred twenty-seven million, one hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 773 812 1015 1546 2030 3092 3865 4060 5411 7730 8803 10822 15460 17606 21644 22417 27055 35212 44015 44834 54110 61621 88030 89668 108220 112085 123242 156919 176060 224170 246484 255287 308105 313838 448340 510574 616210 627676 784595 1021148 1232420 1276435 1569190 1787009 2552870 3138380 3574018 5105740 6804719 7148036 8935045 13609438 17870090 27218876 34023595 35740180 47633033 68047190 95266066 136094380 190532132 197336851 238165165 394673702 476330330 789347404 952660660 986684255 1381357957 1973368510 2762715914 3946737020 5525431828 6906789785 13813579570 27627159140