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5385340656 = 243255916689
BaseRepresentation
bin1010000001111110…
…11100011011110000
3111220022110122120100
411000333130123300
542012121400111
62250214312400
7250311432423
oct50077343360
914808418510
105385340656
112313980163
121063658700
1367a939907
1439132b9ba
15217bc1756
hex140fdc6f0

5385340656 has 60 divisors (see below), whose sum is σ = 15076423440. Its totient is φ = 1794524160.

The previous prime is 5385340637. The next prime is 5385340657. The reversal of 5385340656 is 6560435835.

5385340656 is a `hidden beast` number, since 53 + 8 + 534 + 0 + 65 + 6 = 666.

It is a super-3 number, since 3×53853406563 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385340657) 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, 801760 + ... + 808448.

It is an arithmetic number, because the mean of its divisors is an integer number (251273724).

Almost surely, 25385340656 is an apocalyptic number.

It is an amenable number.

5385340656 is an abundant number, since it is smaller than the sum of its proper divisors (9691082784).

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

5385340656 is a wasteful number, since it uses less digits than its factorization.

5385340656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12294 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 5385340656 is about 73384.8802956031. The cubic root of 5385340656 is about 1752.8216418835.

The spelling of 5385340656 in words is "five billion, three hundred eighty-five million, three hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5591 6689 11182 13378 16773 20067 22364 26756 33546 40134 44728 50319 53512 60201 67092 80268 89456 100638 107024 120402 134184 160536 201276 240804 268368 321072 402552 481608 805104 963216 37398199 74796398 112194597 149592796 224389194 299185592 336583791 448778388 598371184 673167582 897556776 1346335164 1795113552 2692670328 5385340656