Search a number
-
+
38380666608384 = 283263392348437
BaseRepresentation
bin10001011101000001100011…
…11111111101101100000000
312000220011012122110110212220
420232200301333331230000
520012312101122432014
6213343500153451040
711040624461241312
oct1056406177755400
9160804178413786
1038380666608384
111125817079a391
12437a51b710a80
131855387114539
149698c426b7b2
154685811956a9
hex22e831ffdb00

38380666608384 has 144 divisors (see below), whose sum is σ = 102565197326592. Its totient is φ = 12741399015424.

The previous prime is 38380666608373. The next prime is 38380666608419. The reversal of 38380666608384 is 48380666608383.

38380666608384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 792359014 + ... + 792407450.

It is an arithmetic number, because the mean of its divisors is an integer number (712258314768).

Almost surely, 238380666608384 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 38380666608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51282598663296).

38380666608384 is an abundant number, since it is smaller than the sum of its proper divisors (64184530718208).

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

38380666608384 is a wasteful number, since it uses less digits than its factorization.

38380666608384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52642 (or 52628 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 69.

Subtracting 38380666608384 from its reverse (48380666608383), we obtain a palindrome (9999999999999).

The spelling of 38380666608384 in words is "thirty-eight trillion, three hundred eighty billion, six hundred sixty-six million, six hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 263 384 526 768 789 1052 1578 2104 3156 3923 4208 6312 7846 8416 11769 12624 15692 16832 23538 25248 31384 33664 47076 48437 50496 62768 67328 94152 96874 100992 125536 145311 188304 193748 201984 251072 290622 376608 387496 502144 581244 753216 774992 1004288 1031749 1162488 1506432 1549984 2063498 2324976 3012864 3095247 3099968 4126996 4649952 6190494 6199936 8253992 9299904 12380988 12399872 12738931 16507984 18599808 24761976 25477862 33015968 37199616 38216793 49523952 50955724 66031936 76433586 99047904 101911448 132063872 152867172 190018351 198095808 203822896 264127744 305734344 380036702 396191616 407645792 570055053 611468688 760073404 792383232 815291584 1140110106 1222937376 1520146808 1630583168 2280220212 2445874752 3040293616 3261166336 4560440424 4891749504 6080587232 9120880848 9783499008 12161174464 18241761696 24322348928 36483523392 48644697856 49974826313 72967046784 99949652626 145934093568 149924478939 199899305252 299848957878 399798610504 599697915756 799597221008 1199395831512 1599194442016 2398791663024 3198388884032 4797583326048 6396777768064 9595166652096 12793555536128 19190333304192 38380666608384