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5288186340 = 22325199314741
BaseRepresentation
bin1001110110011001…
…10101000111100100
3111122112122200220100
410323030311013210
541312233430330
62232424104100
7245021561613
oct47314650744
914575580810
105288186340
112274052738
121037005030
13663781458
1438247b87a
1520e3d0060
hex13b3351e4

5288186340 has 72 divisors (see below), whose sum is σ = 16049969208. Its totient is φ = 1409379840.

The previous prime is 5288186327. The next prime is 5288186363. The reversal of 5288186340 is 436818825.

5288186340 is a `hidden beast` number, since 5 + 2 + 8 + 8 + 1 + 8 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2470487616 + 2817698724 = 49704^2 + 53082^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 351370 + ... + 366110.

It is an arithmetic number, because the mean of its divisors is an integer number (222916239).

Almost surely, 25288186340 is an apocalyptic number.

It is an amenable number.

5288186340 is an abundant number, since it is smaller than the sum of its proper divisors (10761782868).

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

5288186340 is a wasteful number, since it uses less digits than its factorization.

5288186340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16749 (or 16744 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5288186340 is about 72719.9170791606. The cubic root of 5288186340 is about 1742.2170115022.

The spelling of 5288186340 in words is "five billion, two hundred eighty-eight million, one hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1993 3986 5979 7972 9965 11958 14741 17937 19930 23916 29482 29895 35874 39860 44223 58964 59790 71748 73705 88446 89685 119580 132669 147410 176892 179370 221115 265338 294820 358740 442230 530676 663345 884460 1326690 2653380 29378813 58757626 88136439 117515252 146894065 176272878 264409317 293788130 352545756 440682195 528818634 587576260 881364390 1057637268 1322046585 1762728780 2644093170 5288186340