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268814782352 = 241731971372399
BaseRepresentation
bin1111101001011010011…
…1000000111110010000
3221200212011102211102002
43322112213000332100
513401013041013402
6323254121413132
725264323643424
oct3722647007620
9850764384362
10268814782352
11a4004a33756
124412163a1a8
131c4700498bc
14d021534b84
156ed49b9602
hex3e969c0f90

268814782352 has 160 divisors (see below), whose sum is σ = 579562905600. Its totient is φ = 120223825920.

The previous prime is 268814782351. The next prime is 268814782441. The reversal of 268814782352 is 253287418862.

268814782352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2688147823522 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268814782351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112051649 + ... + 112054047.

It is an arithmetic number, because the mean of its divisors is an integer number (3622268160).

Almost surely, 2268814782352 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 268814782352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289781452800).

268814782352 is an abundant number, since it is smaller than the sum of its proper divisors (310748123248).

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

268814782352 is a wasteful number, since it uses less digits than its factorization.

268814782352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2683 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 56.

The spelling of 268814782352 in words is "two hundred sixty-eight billion, eight hundred fourteen million, seven hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 97 124 136 137 194 248 272 274 388 496 527 548 776 1054 1096 1552 1649 2108 2192 2329 2399 3007 3298 4216 4247 4658 4798 6014 6596 8432 8494 9316 9596 12028 13192 13289 16988 18632 19192 24056 26384 26578 33976 37264 38384 40783 48112 51119 53156 67952 72199 74369 81566 102238 106312 144398 148738 163132 204476 212624 225913 232703 288796 297476 326264 328663 408952 411959 451826 465406 577592 594952 652528 657326 817904 823918 903652 930812 1155184 1189904 1264273 1314652 1647836 1807304 1861624 2528546 2629304 3295672 3614608 3723248 3955951 5057092 5258608 5587271 6591344 7003303 7213793 7911902 10114184 10188553 11174542 14006606 14427586 15823804 20228368 20377106 22349084 28013212 28855172 31647608 31880311 40754212 44698168 56026424 57710344 63295216 63760622 81508424 89396336 112052848 115420688 122634481 127521244 163016848 173205401 245268962 255042488 346410802 490537924 510084976 541965287 692821604 981075848 988289641 1083930574 1385643208 1962151696 1976579282 2167861148 2771286416 3953158564 4335722296 7906317128 8671444592 15812634256 16800923897 33601847794 67203695588 134407391176 268814782352