Search a number
-
+
8005510689936 = 2431494139270437
BaseRepresentation
bin111010001111110110110…
…0111101111010010010000
31001100022121210201110022120
41310133231213233102100
52022130241214034221
625005403021134240
71454244006052524
oct164375547572220
931308553643276
108005510689936
112607133099141
12a936313ba380
13460bbb4ab736
141d967c4b9d84
15dd395b475c6
hex747ed9ef490

8005510689936 has 80 divisors (see below), whose sum is σ = 20824807752000. Its totient is φ = 2649943949824.

The previous prime is 8005510689893. The next prime is 8005510689983. The reversal of 8005510689936 is 6399860155008.

It is a self number, because there is not a number n which added to its sum of digits gives 8005510689936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29466910 + ... + 29737346.

It is an arithmetic number, because the mean of its divisors is an integer number (260310096900).

Almost surely, 28005510689936 is an apocalyptic number.

It is an amenable number.

8005510689936 is an abundant number, since it is smaller than the sum of its proper divisors (12819297062064).

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

8005510689936 is a wasteful number, since it uses less digits than its factorization.

8005510689936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274736 (or 274730 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 8005510689936 in words is "eight trillion, five billion, five hundred ten million, six hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 4139 7152 8278 12417 16556 24834 33112 49668 66224 99336 198672 270437 540874 616711 811311 1081748 1233422 1622622 1850133 2163496 2466844 3245244 3700266 4326992 4933688 6490488 7400532 9867376 12980976 14801064 29602128 40295113 80590226 120885339 161180452 241770678 322360904 483541356 644721808 967082712 1119338743 1934165424 2238677486 3358016229 4477354972 6716032458 8954709944 13432064916 17909419888 26864129832 53728259664 166781472707 333562945414 500344418121 667125890828 1000688836242 1334251781656 2001377672484 2668503563312 4002755344968 8005510689936