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232728551872 = 2617439375309
BaseRepresentation
bin1101100010111110110…
…0111110000111000000
3211020201020211101101021
43120233230332013000
512303112002124442
6254525232315224
722546142023405
oct3305754760700
9736636741337
10232728551872
118a777222683
12391303a2b14
1318c3ba867bb
14b39aa722ac
1560c18c2e67
hex362fb3e1c0

232728551872 has 112 divisors (see below), whose sum is σ = 500986775520. Its totient is φ = 106838065152.

The previous prime is 232728551849. The next prime is 232728551903. The reversal of 232728551872 is 278155827232.

It is a happy number.

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, 43833954 + ... + 43839262.

It is an arithmetic number, because the mean of its divisors is an integer number (4473096210).

Almost surely, 2232728551872 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 232728551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250493387760).

232728551872 is an abundant number, since it is smaller than the sum of its proper divisors (268258223648).

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

232728551872 is a wasteful number, since it uses less digits than its factorization.

232728551872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6308 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 52.

The spelling of 232728551872 in words is "two hundred thirty-two billion, seven hundred twenty-eight million, five hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 272 344 544 688 731 937 1088 1376 1462 1874 2752 2924 3748 5309 5848 7496 10618 11696 14992 15929 21236 23392 29984 31858 40291 42472 46784 59968 63716 80582 84944 90253 127432 161164 169888 180506 228287 254864 322328 339776 361012 456574 509728 644656 684947 722024 913148 1019456 1289312 1369894 1444048 1826296 2578624 2739788 2888096 3652592 3880879 4974533 5479576 5776192 7305184 7761758 9949066 10959152 14610368 15523516 19898132 21918304 31047032 39796264 43836608 62094064 79592528 84567061 124188128 159185056 169134122 213904919 248376256 318370112 338268244 427809838 676536488 855619676 1353072976 1711239352 2706145952 3422478704 3636383623 5412291904 6844957408 7272767246 13689914816 14545534492 29091068984 58182137968 116364275936 232728551872