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268128124416 = 2932311877017
BaseRepresentation
bin1111100110110110101…
…1100111111000000000
3221122002022100222210200
43321231223213320000
513343111244440131
6323102032125200
725241315311305
oct3715553477000
9848068328720
10268128124416
11a3792377459
1243b6b696800
131c3909cc329
14cd982710ac
156e945802e6
hex3e6dae7e00

268128124416 has 120 divisors (see below), whose sum is σ = 798798796224. Its totient is φ = 86492897280.

The previous prime is 268128124409. The next prime is 268128124499. The reversal of 268128124416 is 614421821862.

It is a super-2 number, since 2×2681281244162 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795661 + ... + 1081356.

Almost surely, 2268128124416 is an apocalyptic number.

It is an amenable number.

268128124416 is an abundant number, since it is smaller than the sum of its proper divisors (530670671808).

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

268128124416 is a wasteful number, since it uses less digits than its factorization.

268128124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877072 (or 1877053 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 268128124416 in words is "two hundred sixty-eight billion, one hundred twenty-eight million, one hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1984 2232 2304 2976 3968 4464 4608 5952 7936 8928 11904 15872 17856 23808 35712 47616 71424 142848 1877017 3754034 5631051 7508068 11262102 15016136 16893153 22524204 30032272 33786306 45048408 58187527 60064544 67572612 90096816 116375054 120129088 135145224 174562581 180193632 232750108 240258176 270290448 349125162 360387264 465500216 480516352 523687743 540580896 698250324 720774528 931000432 961032704 1047375486 1081161792 1396500648 1441549056 1862000864 2094750972 2162323584 2793001296 2883098112 3724001728 4189501944 4324647168 5586002592 7448003456 8379003888 8649294336 11172005184 14896006912 16758007776 22344010368 29792013824 33516015552 44688020736 67032031104 89376041472 134064062208 268128124416