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27102371328 = 29328576863
BaseRepresentation
bin11001001111011011…
…010101111000000000
32120221210220010002200
4121033123111320000
5421001201340303
620241201513200
71646423232564
oct311733257000
976853803080
1027102371328
111054864479a
125304642800
13272bc74816
14145168d6a4
15a895573a3
hex64f6d5e00

27102371328 has 120 divisors (see below), whose sum is σ = 78321960288. Its totient is φ = 9022267392.

The previous prime is 27102371321. The next prime is 27102371339. The reversal of 27102371328 is 82317320172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27102371292 and 27102371301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27102371321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3945625 + ... + 3952487.

Almost surely, 227102371328 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 27102371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39160980144).

27102371328 is an abundant number, since it is smaller than the sum of its proper divisors (51219588960).

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

27102371328 is an equidigital number, since it uses as much as digits as its factorization.

27102371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 27102371328 in words is "twenty-seven billion, one hundred two million, three hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 857 1152 1536 1714 2304 2571 3428 4608 5142 6856 6863 7713 10284 13712 13726 15426 20568 20589 27424 27452 30852 41136 41178 54848 54904 61704 61767 82272 82356 109696 109808 123408 123534 164544 164712 219392 219616 246816 247068 329088 329424 438784 439232 493632 494136 658176 658848 878464 987264 988272 1316352 1317696 1756928 1974528 1976544 2635392 3513856 3949056 3953088 5270784 5881591 7906176 10541568 11763182 15812352 17644773 23526364 31624704 35289546 47052728 52934319 70579092 94105456 105868638 141158184 188210912 211737276 282316368 376421824 423474552 564632736 752843648 846949104 1129265472 1505687296 1693898208 2258530944 3011374592 3387796416 4517061888 6775592832 9034123776 13551185664 27102371328