Search a number
-
+
805768345452 = 2237223251237373
BaseRepresentation
bin10111011100110111000…
…10010011011101101100
32212000211101022001100210
423232123202103131230
5101200203144023302
61414055340022420
7112133455633500
oct13563342233554
92760741261323
10805768345452
112907a7252044
121101b6231a10
135aca3057035
142addc4b2300
1515e5e91b66c
hexbb9b89376c

805768345452 has 144 divisors (see below), whose sum is σ = 2291278171392. Its totient is φ = 219331728000.

The previous prime is 805768345451. The next prime is 805768345471. The reversal of 805768345452 is 254543867508.

It is a junction number, because it is equal to n+sod(n) for n = 805768345392 and 805768345401.

It is not an unprimeable number, because it can be changed into a prime (805768345451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3275838 + ... + 3513210.

It is an arithmetic number, because the mean of its divisors is an integer number (15911653968).

Almost surely, 2805768345452 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 805768345452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145639085696).

805768345452 is an abundant number, since it is smaller than the sum of its proper divisors (1485509825940).

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

805768345452 is a wasteful number, since it uses less digits than its factorization.

805768345452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237668 (or 237659 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 805768345452 in words is "eight hundred five billion, seven hundred sixty-eight million, three hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 251 276 294 322 483 502 588 644 753 966 1004 1127 1506 1757 1932 2254 3012 3381 3514 4508 5271 5773 6762 7028 10542 11546 12299 13524 17319 21084 23092 24598 34638 36897 40411 49196 69276 73794 80822 121233 147588 161644 237373 242466 282877 474746 484932 565754 712119 848631 949492 1131508 1424238 1661611 1697262 2848476 3323222 3394524 4984833 5459579 6646444 9969666 10919158 11631277 16378737 19939332 21838316 23262554 32757474 34893831 38217053 46525108 59580623 65514948 69787662 76434106 114651159 119161246 139575324 152868212 178741869 229302318 238322492 267519371 357483738 417064361 458604636 535038742 714967476 802558113 834128722 1070077484 1251193083 1370354329 1605116226 1668257444 2502386166 2740708658 2919450527 3210232452 4111062987 5004772332 5481417316 5838901054 8222125974 8758351581 9592480303 11677802108 16444251948 17516703162 19184960606 28777440909 35033406324 38369921212 57554881818 67147362121 115109763636 134294724242 201442086363 268589448484 402884172726 805768345452