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268936229376 = 2933123715727
BaseRepresentation
bin1111101001110111011…
…0010011001000000000
3221201011121221222102000
43322131312103020000
513401240133320001
6323314140424000
725300330142403
oct3723566231000
9851147858360
10268936229376
11a40675436a1
1244156248000
131c48c25c349
14d033709d3a
156ee04a8a86
hex3e9dd93200

268936229376 has 160 divisors (see below), whose sum is σ = 796764122880. Its totient is φ = 89567244288.

The previous prime is 268936229357. The next prime is 268936229399. The reversal of 268936229376 is 673922639862.

268936229376 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 36 + 229 + 376 = 666.

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, 17092425 + ... + 17108151.

It is an arithmetic number, because the mean of its divisors is an integer number (4979775768).

Almost surely, 2268936229376 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 268936229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398382061440).

268936229376 is an abundant number, since it is smaller than the sum of its proper divisors (527827893504).

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

268936229376 is a wasteful number, since it uses less digits than its factorization.

268936229376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16991 (or 16969 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 268936229376 in words is "two hundred sixty-eight billion, nine hundred thirty-six million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1237 1536 1728 2304 2474 3456 3711 4608 4948 6912 7422 9896 11133 13824 14844 15727 19792 22266 29688 31454 33399 39584 44532 47181 59376 62908 66798 79168 89064 94362 118752 125816 133596 141543 158336 178128 188724 237504 251632 267192 283086 316672 356256 377448 424629 475008 503264 534384 566172 633344 712512 754896 849258 950016 1006528 1068768 1132344 1425024 1509792 1698516 1900032 2013056 2137536 2264688 2850048 3019584 3397032 4026112 4275072 4529376 5700096 6039168 6794064 8052224 8550144 9058752 12078336 13588128 17100288 18117504 19454299 24156672 27176256 36235008 38908598 54352512 58362897 72470016 77817196 108705024 116725794 155634392 175088691 217410048 233451588 311268784 350177382 466903176 525266073 622537568 700354764 933806352 1050532146 1245075136 1400709528 1867612704 2101064292 2490150272 2801419056 3735225408 4202128584 4980300544 5602838112 7470450816 8404257168 9960601088 11205676224 14940901632 16808514336 22411352448 29881803264 33617028672 44822704896 67234057344 89645409792 134468114688 268936229376