Search a number
-
+
805191819048 = 233319672928311
BaseRepresentation
bin10111011011110010010…
…11000001111100101000
32211222100012110110211000
423231321023001330220
5101143013101202143
61413522223035000
7112113255351501
oct13557113017450
92758305413730
10805191819048
11290530877241
1211007513ba60
135ac10789956
142ad85ab9ba8
1515e28ed8bd3
hexbb792c1f28

805191819048 has 128 divisors (see below), whose sum is σ = 2389502592000. Its totient is φ = 250475924160.

The previous prime is 805191819023. The next prime is 805191819083. The reversal of 805191819048 is 840918191508.

805191819048 is a `hidden beast` number, since 8 + 0 + 519 + 1 + 81 + 9 + 0 + 48 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 805191818985 and 805191819003.

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, 1189188 + ... + 1739123.

It is an arithmetic number, because the mean of its divisors is an integer number (18667989000).

Almost surely, 2805191819048 is an apocalyptic number.

It is an amenable number.

805191819048 is an abundant number, since it is smaller than the sum of its proper divisors (1584310772952).

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

805191819048 is a wasteful number, since it uses less digits than its factorization.

805191819048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928412 (or 2928402 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 805191819048 in words is "eight hundred five billion, one hundred ninety-one million, eight hundred nineteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 67 72 76 108 114 134 152 171 201 216 228 268 342 402 456 513 536 603 684 804 1026 1206 1273 1368 1608 1809 2052 2412 2546 3618 3819 4104 4824 5092 7236 7638 10184 11457 14472 15276 22914 30552 34371 45828 68742 91656 137484 274968 2928311 5856622 8784933 11713244 17569866 23426488 26354799 35139732 52709598 55637909 70279464 79064397 105419196 111275818 158128794 166913727 196196837 210838392 222551636 316257588 333827454 392393674 445103272 500741181 588590511 632515176 667654908 784787348 1001482362 1177181022 1335309816 1502223543 1569574696 1765771533 2002964724 2354362044 3004447086 3531543066 3727739903 4005929448 4708724088 5297314599 6008894172 7063086132 7455479806 10594629198 11183219709 12017788344 14126172264 14910959612 21189258396 22366439418 29821919224 33549659127 42378516792 44732878836 67099318254 89465757672 100648977381 134198636508 201297954762 268397273016 402595909524 805191819048