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268902218312 = 237132234613593
BaseRepresentation
bin1111101001101111010…
…0100011101001001000
3221201002020222000222222
43322123310203221020
513401202431441222
6323310523433212
725266435066650
oct3723364435110
9851066860888
10268902218312
11a404a323682
1244146985808
131c4851b1760
14d02cdb5360
156edc4db542
hex3e9bd23a48

268902218312 has 128 divisors (see below), whose sum is σ = 624852264960. Its totient is φ = 105642731520.

The previous prime is 268902218281. The next prime is 268902218339. The reversal of 268902218312 is 213812209862.

It is a super-2 number, since 2×2689022183122 (a number of 24 digits) contains 22 as substring.

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, 74838788 + ... + 74842380.

It is an arithmetic number, because the mean of its divisors is an integer number (4881658320).

Almost surely, 2268902218312 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 268902218312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312426132480).

268902218312 is an abundant number, since it is smaller than the sum of its proper divisors (355950046648).

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

268902218312 is a wasteful number, since it uses less digits than its factorization.

268902218312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 268902218312 in words is "two hundred sixty-eight billion, nine hundred two million, two hundred eighteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 223 364 446 461 728 892 922 1561 1784 1844 2899 3122 3227 3593 3688 5798 5993 6244 6454 7186 11596 11986 12488 12908 14372 20293 23192 23972 25151 25816 28744 40586 41951 46709 47944 50302 81172 83902 93418 100604 102803 162344 167804 186836 201208 205606 326963 335608 373672 411212 653926 719621 801239 822424 1307852 1336439 1439242 1602478 1656373 2615704 2672878 2878484 3204956 3312746 5345756 5608673 5756968 6409912 6625492 9355073 10416107 10691512 11217346 11594611 13250984 18710146 20832214 21532849 22434692 23189222 37420292 41664428 43065698 44869384 46378444 72912749 74840584 83328856 86131396 92756888 145825498 150729943 172262792 291650996 301459886 369371179 583301992 602919772 738742358 1205839544 1477484716 2585598253 2954969432 4801825327 5171196506 9603650654 10342393012 19207301308 20684786024 33612777289 38414602616 67225554578 134451109156 268902218312