Search a number
-
+
86652378645536 = 25111814159327017
BaseRepresentation
bin10011101100111101010100…
…001111111000010000100000
3102100210212221020220111220002
4103230331110033320100200
542324203032413124121
6504143315254035132
724152266502456114
oct2354752417702040
9370725836814802
1086652378645536
11256790817a47a0
12987598a348aa8
13394739063c0a2
141757dd7219744
15a04061d3ce0b
hex4ecf543f8420

86652378645536 has 96 divisors (see below), whose sum is σ = 187179452328960. Its totient is φ = 39160296806400.

The previous prime is 86652378645479. The next prime is 86652378645571. The reversal of 86652378645536 is 63554687325668.

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, 264814700 + ... + 265141716.

It is an arithmetic number, because the mean of its divisors is an integer number (1949785961760).

Almost surely, 286652378645536 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 86652378645536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93589726164480).

86652378645536 is an abundant number, since it is smaller than the sum of its proper divisors (100527073683424).

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

86652378645536 is a wasteful number, since it uses less digits than its factorization.

86652378645536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331378 (or 331370 counting only the distinct ones).

The product of its digits is 5225472000, while the sum is 74.

The spelling of 86652378645536 in words is "eighty-six trillion, six hundred fifty-two billion, three hundred seventy-eight million, six hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 181 352 362 724 1448 1991 2896 3982 4159 5792 7964 8318 15928 16636 31856 33272 45749 63712 66544 91498 133088 182996 327017 365992 654034 731984 752779 1308068 1463968 1505558 2616136 3011116 3597187 5232272 6022232 7194374 8280569 10464544 12044464 14388748 16561138 24088928 28777496 33122276 57554992 59190077 66244552 115109984 118380154 132489104 236760308 264978208 473520616 651090847 947041232 1302181694 1360063703 1894082464 2604363388 2720127406 5208726776 5440254812 10417453552 10880509624 14960700733 20834907104 21761019248 29921401466 43522038496 59842802932 119685605864 239371211728 246171530243 478742423456 492343060486 984686120972 1969372241944 2707886832673 3938744483888 5415773665346 7877488967776 10831547330692 21663094661384 43326189322768 86652378645536