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80768821860 = 223251517194133
BaseRepresentation
bin100101100111000110…
…0100110101001100100
321201110220210021022200
41023032030212221210
52310403304244420
6101034340054500
75556345441516
oct1131614465144
9251426707280
1080768821860
1131287992351
12137a1394430
1378024bc6ac
143ca2d09bb6
15217ac37b90
hex12ce326a64

80768821860 has 144 divisors (see below), whose sum is σ = 247024028160. Its totient is φ = 21360787200.

The previous prime is 80768821829. The next prime is 80768821901. The reversal of 80768821860 is 6812886708.

It is a junction number, because it is equal to n+sod(n) for n = 80768821797 and 80768821806.

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 47 ways as a sum of consecutive naturals, for example, 19540354 + ... + 19544486.

It is an arithmetic number, because the mean of its divisors is an integer number (1715444640).

Almost surely, 280768821860 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 80768821860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123512014080).

80768821860 is an abundant number, since it is smaller than the sum of its proper divisors (166255206300).

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

80768821860 is a wasteful number, since it uses less digits than its factorization.

80768821860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 80768821860 in words is "eighty billion, seven hundred sixty-eight million, eight hundred twenty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 719 755 906 1359 1438 1510 1812 2157 2265 2718 2876 3020 3595 4133 4314 4530 5436 6471 6795 7190 8266 8628 9060 10785 12399 12942 13590 14380 16532 20665 21570 24798 25884 27180 32355 37197 41330 43140 49596 61995 64710 74394 82660 108569 123990 129420 148788 185985 217138 247980 325707 371970 434276 542845 624083 651414 743940 977121 1085690 1248166 1302828 1628535 1872249 1954242 2171380 2496332 2971627 3120415 3257070 3744498 3908484 4885605 5616747 5943254 6240830 6514140 7488996 8914881 9361245 9771210 11233494 11886508 12481660 14858135 17829762 18722490 19542420 22466988 26744643 28083735 29716270 35659524 37444980 44574405 53489286 56167470 59432540 89148810 106978572 112334940 133723215 178297620 267446430 448715677 534892860 897431354 1346147031 1794862708 2243578385 2692294062 4038441093 4487156770 5384588124 6730735155 8076882186 8974313540 13461470310 16153764372 20192205465 26922940620 40384410930 80768821860