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27073860352 = 28711311351
BaseRepresentation
bin11001001101101110…
…100101001100000000
32120212211020121101121
4121031232211030000
5420421402012402
620234302442024
71645626005320
oct311556451400
976784217347
1027073860352
1110533541000
1252b6b93314
1327260a1516
14144b98b280
15a86cc4837
hex64dba5300

27073860352 has 144 divisors (see below), whose sum is σ = 67939812864. Its totient is φ = 10547328000.

The previous prime is 27073860301. The next prime is 27073860353. The reversal of 27073860352 is 25306837072.

It is a junction number, because it is equal to n+sod(n) for n = 27073860299 and 27073860308.

It is not an unprimeable number, because it can be changed into a prime (27073860353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2379477 + ... + 2390827.

It is an arithmetic number, because the mean of its divisors is an integer number (471804256).

Almost surely, 227073860352 is an apocalyptic number.

27073860352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27073860352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33969906432).

27073860352 is an abundant number, since it is smaller than the sum of its proper divisors (40865952512).

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

27073860352 is an equidigital number, since it uses as much as digits as its factorization.

27073860352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11371 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 27073860352 in words is "twenty-seven billion, seventy-three million, eight hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 704 847 896 968 1232 1331 1408 1694 1792 1936 2464 2662 2816 3388 3872 4928 5324 6776 7744 9317 9856 10648 11351 13552 15488 18634 19712 21296 22702 27104 30976 37268 42592 45404 54208 74536 79457 85184 90808 108416 124861 149072 158914 170368 181616 216832 249722 298144 317828 340736 363232 499444 596288 635656 726464 874027 998888 1192576 1271312 1373471 1452928 1748054 1997776 2385152 2542624 2746942 2905856 3496108 3995552 5085248 5493884 6992216 7991104 9614297 10170496 10987768 13984432 15108181 15982208 19228594 20340992 21975536 27968864 30216362 31964416 38457188 43951072 55937728 60432724 76914376 87902144 105757267 111875456 120865448 153828752 175804288 211514534 223750912 241730896 307657504 351608576 423029068 483461792 615315008 846058136 966923584 1230630016 1692116272 1933847168 2461260032 3384232544 3867694336 6768465088 13536930176 27073860352