Search a number
-
+
580883908864 = 2872916096947
BaseRepresentation
bin10000111001111110110…
…00010000100100000000
32001112100210120000020211
420130333120100210000
534004122240040424
61122504314043504
756652562520620
oct10347730204400
92045323500224
10580883908864
11204395906376
12946b4a19594
1342a1443408c
142018752a880
151019ba00b94
hex873f610900

580883908864 has 144 divisors (see below), whose sum is σ = 1371885379200. Its totient is φ = 240181788672.

The previous prime is 580883908819. The next prime is 580883908867. The reversal of 580883908864 is 468809388085.

It is a happy number.

It is a super-2 number, since 2×5808839088642 (a number of 24 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 580883908864.

It is not an unprimeable number, because it can be changed into a prime (580883908867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83613039 + ... + 83619985.

It is an arithmetic number, because the mean of its divisors is an integer number (9526981800).

Almost surely, 2580883908864 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 580883908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685942689600).

580883908864 is an abundant number, since it is smaller than the sum of its proper divisors (791001470336).

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

580883908864 is a wasteful number, since it uses less digits than its factorization.

580883908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 67.

The spelling of 580883908864 in words is "five hundred eighty billion, eight hundred eighty-three million, nine hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1609 1624 1792 1856 3218 3248 3712 6436 6496 6947 7424 11263 12872 12992 13894 22526 25744 25984 27788 45052 46661 48629 51488 51968 55576 90104 93322 97258 102976 111152 180208 186644 194516 201463 205952 222304 326627 360416 373288 389032 402926 411904 444608 653254 720832 746576 778064 805852 889216 1306508 1410241 1441664 1493152 1556128 1611704 1778432 2613016 2820482 2883328 2986304 3112256 3223408 5226032 5640964 5972608 6224512 6446816 10452064 11177723 11281928 11945216 12449024 12893632 20904128 22355446 22563856 25787264 41808256 44710892 45127712 51574528 78244061 83616512 89421784 90255424 156488122 178843568 180510848 312976244 324153967 357687136 361021696 625952488 648307934 715374272 1251904976 1296615868 1430748544 2269077769 2503809952 2593231736 2861497088 4538155538 5007619904 5186463472 9076311076 10015239808 10372926944 18152622152 20030479616 20745853888 36305244304 41491707776 72610488608 82983415552 145220977216 290441954432 580883908864