Search a number
-
+
805893989576 = 2313232937611511
BaseRepresentation
bin10111011101000110000…
…01100110010011001000
32212001011010201102200212
423232203001212103020
5101200432330131301
61414120025020252
7112136542613054
oct13564301462310
92761133642625
10805893989576
11290861169365
12110230324688
135acc30a8c80
142b01105ac64
1515e6a9894bb
hexbba30664c8

805893989576 has 128 divisors (see below), whose sum is σ = 1707200893440. Its totient is φ = 353864755200.

The previous prime is 805893989557. The next prime is 805893989587. The reversal of 805893989576 is 675989398508.

It is a junction number, because it is equal to n+sod(n) for n = 805893989497 and 805893989506.

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, 533350661 + ... + 533352171.

It is an arithmetic number, because the mean of its divisors is an integer number (13337506980).

Almost surely, 2805893989576 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 805893989576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853600446720).

805893989576 is an abundant number, since it is smaller than the sum of its proper divisors (901306903864).

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

805893989576 is a wasteful number, since it uses less digits than its factorization.

805893989576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 77.

The spelling of 805893989576 in words is "eight hundred five billion, eight hundred ninety-three million, nine hundred eighty-nine thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 293 299 586 598 761 1172 1196 1511 1522 2344 2392 3022 3044 3809 6044 6088 6739 7618 9893 12088 13478 15236 17503 19643 19786 26956 30472 34753 35006 39286 39572 53912 69506 70012 78572 79144 87607 139012 140024 157144 175214 222973 227539 278024 350428 442723 445946 451789 455078 700856 885446 891892 903578 910156 1149871 1770892 1783784 1807156 1820312 2299742 2898649 3541784 3614312 4599484 5128379 5755399 5797298 9198968 10182629 10256758 11510798 11594596 14948323 20365258 20513516 23021596 23189192 26447033 29896646 40730516 41027032 46043192 52894066 59793292 66668927 81461032 105788132 119586584 132374177 133337854 211576264 264748354 266675708 336912203 343811429 529496708 533351416 673824406 687622858 1058993416 1347648812 1375245716 2695297624 2750491432 4379858639 7748980669 8759717278 15497961338 17519434556 30995922676 35038869112 61991845352 100736748697 201473497394 402946994788 805893989576