Search a number
-
+
5006222111488 = 281329127408437
BaseRepresentation
bin100100011011001101000…
…0101110011001100000000
3122201120221020010010202211
41020312122011303030000
51124010220330031423
614351454321551504
71024454564556643
oct110663205631400
918646836103684
105006222111488
111660143962a64
1268a2a57a5594
132a4114189840
14134433c91a5a
158a353ad010d
hex48d9a173300

5006222111488 has 144 divisors (see below), whose sum is σ = 11220347335680. Its totient is φ = 2213317951488.

The previous prime is 5006222111417. The next prime is 5006222111531. The reversal of 5006222111488 is 8841112226005.

It is a self number, because there is not a number n which added to its sum of digits gives 5006222111488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12052806 + ... + 12461242.

It is an arithmetic number, because the mean of its divisors is an integer number (77919078720).

Almost surely, 25006222111488 is an apocalyptic number.

5006222111488 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006222111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610173667840).

5006222111488 is an abundant number, since it is smaller than the sum of its proper divisors (6214125224192).

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

5006222111488 is a wasteful number, since it uses less digits than its factorization.

5006222111488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408622 (or 408608 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 5006222111488 in words is "five trillion, six billion, two hundred twenty-two million, one hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 127 128 208 232 254 256 377 416 464 508 754 832 928 1016 1508 1651 1664 1856 2032 3016 3302 3328 3683 3712 4064 6032 6604 7366 7424 8128 12064 13208 14732 16256 24128 26416 29464 32512 47879 48256 52832 58928 95758 96512 105664 117856 191516 211328 235712 383032 408437 422656 471424 766064 816874 942848 1532128 1633748 3064256 3267496 5309681 6128512 6534992 10619362 11844673 12257024 13069984 21238724 23689346 26139968 42477448 47378692 51871499 52279936 84954896 94757384 103742998 104559872 153980749 169909792 189514768 207485996 307961498 339819584 379029536 414971992 615922996 674329487 679639168 758059072 829943984 1231845992 1348658974 1359278336 1504273471 1516118144 1659887968 2463691984 2697317948 3008546942 3032236288 3319775936 4927383968 5394635896 6017093884 6639551872 9854767936 10789271792 12034187768 13279103744 19555555123 19709535872 21578543584 24068375536 39111110246 39419071744 43157087168 48136751072 78222220492 86314174336 96273502144 156444440984 172628348672 192547004288 312888881968 385094008576 625777763936 1251555527872 2503111055744 5006222111488