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232773081856 = 287197773853
BaseRepresentation
bin1101100011001001011…
…0110101101100000000
3211020211100121202000221
43120302112311230000
512303204402104411
6254533502552424
722550222356420
oct3306226655400
9736740552027
10232773081856
118a79a377717
1239143298714
1318c480781c3
14b3a2944480
1560c576c071
hex36325b5b00

232773081856 has 144 divisors (see below), whose sum is σ = 535026026304. Its totient is φ = 99008888832.

The previous prime is 232773081847. The next prime is 232773081889. The reversal of 232773081856 is 658180377232.

232773081856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272887126 + ... + 272887978.

It is an arithmetic number, because the mean of its divisors is an integer number (3715458516).

Almost surely, 2232773081856 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 232773081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267513013152).

232773081856 is an abundant number, since it is smaller than the sum of its proper divisors (302252944448).

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

232773081856 is an equidigital number, since it uses as much as digits as its factorization.

232773081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 232773081856 in words is "two hundred thirty-two billion, seven hundred seventy-three million, eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 256 394 448 773 788 853 896 1379 1546 1576 1706 1792 2758 3092 3152 3412 5411 5516 5971 6184 6304 6824 10822 11032 11942 12368 12608 13648 21644 22064 23884 24736 25216 27296 43288 44128 47768 49472 50432 54592 86576 88256 95536 98944 109184 152281 168041 173152 176512 191072 197888 218368 304562 336082 346304 353024 382144 609124 659369 672164 692608 764288 1065967 1176287 1218248 1318738 1344328 1385216 1528576 2131934 2352574 2436496 2637476 2688656 4263868 4615583 4705148 4872992 5274952 5377312 8527736 9231166 9410296 9745984 10549904 10754624 17055472 18462332 18820592 19491968 21099808 21509248 34110944 36924664 37641184 38983936 42199616 43018496 68221888 73849328 75282368 84399232 129895693 136443776 147698656 150564736 168798464 259791386 272887552 295397312 301129472 519582772 590794624 909269851 1039165544 1181589248 1818539702 2078331088 3637079404 4156662176 7274158808 8313324352 14548317616 16626648704 29096635232 33253297408 58193270464 116386540928 232773081856