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27925000110 = 23257106141777
BaseRepresentation
bin11010000000011101…
…011010111110101110
32200002010210222122100
4122000131122332232
5424142300000420
620454545355530
72006002404330
oct320035327656
980063728570
1027925000110
111092aa30997
1254b4038ba6
13283051b507
1414cca29450
15ad689e190
hex68075afae

27925000110 has 96 divisors (see below), whose sum is σ = 83057337792. Its totient is φ = 6376688640.

The previous prime is 27925000109. The next prime is 27925000171. The reversal of 27925000110 is 1100052972.

It is a super-2 number, since 2×279250001102 (a number of 22 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647542 + ... + 689318.

It is an arithmetic number, because the mean of its divisors is an integer number (865180602).

Almost surely, 227925000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27925000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41528668896).

27925000110 is an abundant number, since it is smaller than the sum of its proper divisors (55132337682).

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

27925000110 is a wasteful number, since it uses less digits than its factorization.

27925000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42858 (or 42855 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 27925000110 in words is "twenty-seven billion, nine hundred twenty-five million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1061 2122 3183 5305 6366 7427 9549 10610 14854 15915 19098 22281 31830 37135 41777 44562 47745 66843 74270 83554 95490 111405 125331 133686 208885 222810 250662 292439 334215 375993 417770 584878 626655 668430 751986 877317 1253310 1462195 1754634 1879965 2631951 2924390 3759930 4386585 5263902 8773170 13159755 26319510 44325397 88650794 132976191 221626985 265952382 310277779 398928573 443253970 620555558 664880955 797857146 930833337 1329761910 1551388895 1861666674 1994642865 2792500011 3102777790 3989285730 4654166685 5585000022 9308333370 13962500055 27925000110