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27927823872 = 293137119699
BaseRepresentation
bin11010000000101000…
…001100011000000000
32200002100010110010010
4122000220030120000
5424144010330442
620455130104520
72006035405014
oct320050143000
980070113103
1027927823872
111093158a483
1254b4b7b140
132830c99890
1414cd162544
15ad6c5ab9c
hex680a0c600

27927823872 has 160 divisors (see below), whose sum is σ = 81257299200. Its totient is φ = 8471715840.

The previous prime is 27927823849. The next prime is 27927823921. The reversal of 27927823872 is 27832872972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407879 + ... + 1427577.

It is an arithmetic number, because the mean of its divisors is an integer number (507858120).

Almost surely, 227927823872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27927823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40628649600).

27927823872 is an abundant number, since it is smaller than the sum of its proper divisors (53329475328).

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

27927823872 is a wasteful number, since it uses less digits than its factorization.

27927823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19804 (or 19788 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 57.

The spelling of 27927823872 in words is "twenty-seven billion, nine hundred twenty-seven million, eight hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 512 568 624 768 832 852 923 1136 1248 1536 1664 1704 1846 2272 2496 2769 3328 3408 3692 4544 4992 5538 6656 6816 7384 9088 9984 11076 13632 14768 18176 19699 19968 22152 27264 29536 36352 39398 44304 54528 59072 59097 78796 88608 109056 118144 118194 157592 177216 236288 236388 256087 315184 354432 472576 472776 512174 630368 708864 768261 945552 1024348 1260736 1398629 1417728 1536522 1891104 2048696 2521472 2797258 3073044 3782208 4097392 4195887 5042944 5594516 6146088 7564416 8194784 8391774 10085888 11189032 12292176 15128832 16389568 16783548 18182177 22378064 24584352 30257664 32779136 33567096 36364354 44756128 49168704 54546531 65558272 67134192 72728708 89512256 98337408 109093062 131116544 134268384 145457416 179024512 196674816 218186124 268536768 290914832 358049024 393349632 436372248 537073536 581829664 716098048 872744496 1074147072 1163659328 1745488992 2148294144 2327318656 3490977984 4654637312 6981955968 9309274624 13963911936 27927823872