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253242273216 = 26319150913567
BaseRepresentation
bin1110101111011001101…
…0100110110111000000
3220012122220000101211110
43223312122212313000
513122120010220331
6312200552443320
724203402543232
oct3536632466700
9805586011743
10253242273216
1198443730099
12410b63a9540
131ab5aa0bb5a
14c385282252
1568c27b7946
hex3af66a6dc0

253242273216 has 112 divisors (see below), whose sum is σ = 674917908480. Its totient is φ = 83800980480.

The previous prime is 253242273199. The next prime is 253242273223. The reversal of 253242273216 is 612372242352.

253242273216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 18659265 + ... + 18672831.

Almost surely, 2253242273216 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 253242273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337458954240).

253242273216 is an abundant number, since it is smaller than the sum of its proper divisors (421675635264).

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

253242273216 is a wasteful number, since it uses less digits than its factorization.

253242273216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282 (or 14272 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The spelling of 253242273216 in words is "two hundred fifty-three billion, two hundred forty-two million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 509 573 764 1018 1146 1527 1528 2036 2292 3054 3056 4072 4584 6108 6112 8144 9168 12216 12224 13567 16288 18336 24432 27134 32576 36672 40701 48864 54268 81402 97219 97728 108536 162804 194438 217072 291657 325608 388876 434144 583314 651216 777752 868288 1166628 1302432 1555504 2333256 2591297 2604864 3111008 4666512 5182594 6222016 6905603 7773891 9333024 10365188 13811206 15547782 18666048 20716809 20730376 27622412 31095564 41433618 41460752 55244824 62191128 82867236 82921504 110489648 124382256 165734472 165843008 220979296 248764512 331468944 441958592 497529024 662937888 1318970173 1325875776 2637940346 3956910519 5275880692 7913821038 10551761384 15827642076 21103522768 31655284152 42207045536 63310568304 84414091072 126621136608 253242273216