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27937662140 = 22529367131249
BaseRepresentation
bin11010000001001101…
…101110010010111100
32200010000122021200102
4122001031232102330
5424204020142030
620500121020232
72006215132013
oct320115562274
980100567612
1027937662140
111093709a083
1254b8324678
13283303293b
1414d05a3a7a
15ad7a50c45
hex68136e4bc

27937662140 has 48 divisors (see below), whose sum is σ = 60858000000. Its totient is φ = 10760236032.

The previous prime is 27937662131. The next prime is 27937662161. The reversal of 27937662140 is 4126673972.

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 15 ways as a sum of consecutive naturals, for example, 147236 + ... + 278484.

It is an arithmetic number, because the mean of its divisors is an integer number (1267875000).

Almost surely, 227937662140 is an apocalyptic number.

27937662140 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 27937662140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30429000000).

27937662140 is an abundant number, since it is smaller than the sum of its proper divisors (32920337860).

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

27937662140 is a wasteful number, since it uses less digits than its factorization.

27937662140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131654 (or 131652 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 27937662140 in words is "twenty-seven billion, nine hundred thirty-seven million, six hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 367 580 734 1468 1835 3670 7340 10643 21286 42572 53215 106430 131249 212860 262498 524996 656245 1312490 2624980 3806221 7612442 15224884 19031105 38062210 48168383 76124420 96336766 192673532 240841915 481683830 963367660 1396883107 2793766214 5587532428 6984415535 13968831070 27937662140