Search a number
-
+
256324660368 = 243729116322619
BaseRepresentation
bin1110111010111000100…
…0111110110010010000
3220111121201001220002120
43232232020332302100
513144423103112433
6313430503014240
724342651443550
oct3565610766220
9814551056076
10256324660368
1199785652197
124181673a380
131b22c4ab18a
14c5987b3160
156a031d27b3
hex3bae23ec90

256324660368 has 160 divisors (see below), whose sum is σ = 783571276800. Its totient is φ = 70646327808.

The previous prime is 256324660337. The next prime is 256324660379. The reversal of 256324660368 is 863066423652.

256324660368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256324660368.

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, 11320963 + ... + 11343581.

It is an arithmetic number, because the mean of its divisors is an integer number (4897320480).

Almost surely, 2256324660368 is an apocalyptic number.

256324660368 is a gapful number since it is divisible by the number (28) 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 256324660368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391785638400).

256324660368 is an abundant number, since it is smaller than the sum of its proper divisors (527246616432).

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

256324660368 is a wasteful number, since it uses less digits than its factorization.

256324660368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23829 (or 23823 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 256324660368 in words is "two hundred fifty-six billion, three hundred twenty-four million, six hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1163 1218 1392 1624 2326 2436 3248 3489 4652 4872 6978 8141 9304 9744 13956 16282 18608 22619 24423 27912 32564 33727 45238 48846 55824 65128 67454 67857 90476 97692 101181 130256 134908 135714 158333 180952 195384 202362 236089 269816 271428 316666 361904 390768 404724 472178 474999 539632 542856 633332 655951 708267 809448 944356 949998 1085712 1266664 1311902 1416534 1618896 1888712 1899996 1967853 2533328 2623804 2833068 3777424 3799992 3935706 4591657 5247608 5666136 7599984 7871412 9183314 10495216 11332272 13774971 15742824 18366628 26305897 27549942 31485648 36733256 52611794 55099884 73466512 78917691 105223588 110199768 157835382 184141279 210447176 220399536 315670764 368282558 420894352 552423837 631341528 736565116 762871013 1104847674 1262683056 1473130232 1525742026 2209695348 2288613039 2946260464 3051484052 4419390696 4577226078 5340097091 6102968104 8838781392 9154452156 10680194182 12205936208 16020291273 18308904312 21360388364 32040582546 36617808624 42720776728 64081165092 85441553456 128162330184 256324660368