Search a number
-
+
81819090864 = 24327556314591
BaseRepresentation
bin100110000110011001…
…1000011111110110000
321211012010001110112200
41030030303003332300
52320031141401424
6101330455023200
75624360540340
oct1141463037660
9254163043480
1081819090864
113177681aa65
1213a3506ab00
13793bc7a544
143d625c0d20
1521dd0488c9
hex130ccc3fb0

81819090864 has 120 divisors (see below), whose sum is σ = 261756198912. Its totient is φ = 23371079040.

The previous prime is 81819090719. The next prime is 81819090923. The reversal of 81819090864 is 46809091818.

It is a super-2 number, since 2×818190908642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81819090864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5600209 + ... + 5614799.

Almost surely, 281819090864 is an apocalyptic number.

81819090864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81819090864 is an abundant number, since it is smaller than the sum of its proper divisors (179937108048).

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

81819090864 is a wasteful number, since it uses less digits than its factorization.

81819090864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20175 (or 20166 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 81819090864 in words is "eighty-one billion, eight hundred nineteen million, ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 5563 11126 14591 16689 22252 29182 33378 38941 43773 44504 50067 58364 66756 77882 87546 89008 100134 102137 116728 116823 131319 133512 155764 175092 200268 204274 233456 233646 262638 267024 306411 311528 350184 350469 400536 408548 467292 525276 612822 623056 700368 700938 801072 817096 919233 934584 1050552 1225644 1401876 1634192 1838466 1869168 2101104 2451288 2803752 3676932 4902576 5607504 7353864 14707728 81169733 162339466 243509199 324678932 487018398 568188131 649357864 730527597 974036796 1136376262 1298715728 1461055194 1704564393 1948073592 2272752524 2922110388 3409128786 3896147184 4545505048 5113693179 5844220776 6818257572 9091010096 10227386358 11688441552 13636515144 20454772716 27273030288 40909545432 81819090864