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27956818140 = 22359719324889
BaseRepresentation
bin11010000010010110…
…110011000011011100
32200011100200111202220
4122002112303003130
5424223421140030
620502043345340
72006540014266
oct320226630334
980140614686
1027956818140
1110946993289
125502822250
132836cabb54
1414d2d4cb36
15ad9586a10
hex6825b30dc

27956818140 has 96 divisors (see below), whose sum is σ = 79499058240. Its totient is φ = 7339769856.

The previous prime is 27956818129. The next prime is 27956818171. The reversal of 27956818140 is 4181865972.

It is a congruent number.

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, 1110816 + ... + 1135704.

It is an arithmetic number, because the mean of its divisors is an integer number (828115190).

Almost surely, 227956818140 is an apocalyptic number.

27956818140 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 27956818140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39749529120).

27956818140 is an abundant number, since it is smaller than the sum of its proper divisors (51542240100).

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

27956818140 is a wasteful number, since it uses less digits than its factorization.

27956818140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25191 (or 25189 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 27956818140 in words is "twenty-seven billion, nine hundred fifty-six million, eight hundred eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 193 194 291 386 388 485 579 582 772 965 970 1158 1164 1455 1930 1940 2316 2895 2910 3860 5790 5820 11580 18721 24889 37442 49778 56163 74667 74884 93605 99556 112326 124445 149334 187210 224652 248890 280815 298668 373335 374420 497780 561630 746670 1123260 1493340 2414233 4803577 4828466 7242699 9607154 9656932 12071165 14410731 14485398 19214308 24017885 24142330 28821462 28970796 36213495 48035770 48284660 57642924 72053655 72426990 96071540 144107310 144853980 288214620 465946969 931893938 1397840907 1863787876 2329734845 2795681814 4659469690 5591363628 6989204535 9318939380 13978409070 27956818140