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5385348675 = 325273312251
BaseRepresentation
bin1010000001111110…
…11110011001000011
3111220022111001120100
411000333132121003
542012122124200
62250214413443
7250311465000
oct50077363103
914808431510
105385348675
112313986193
121063661283
1367a940465
143913308a7
15217bc3d00
hex140fde643

5385348675 has 144 divisors (see below), whose sum is σ = 11616716800. Its totient is φ = 2381400000.

The previous prime is 5385348671. The next prime is 5385348697. The reversal of 5385348675 is 5768435835.

5385348675 is a `hidden beast` number, since 5 + 38 + 534 + 8 + 6 + 75 = 666.

It is not a de Polignac number, because 5385348675 - 22 = 5385348671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5385348671) 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 143 ways as a sum of consecutive naturals, for example, 2391300 + ... + 2393550.

Almost surely, 25385348675 is an apocalyptic number.

5385348675 is an abundant number, since it is smaller than the sum of its proper divisors (6231368125).

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

5385348675 is a wasteful number, since it uses less digits than its factorization.

5385348675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2297 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 5385348675 is about 73384.9349321780. The cubic root of 5385348675 is about 1752.8225118916.

The spelling of 5385348675 in words is "five billion, three hundred eighty-five million, three hundred forty-eight thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 49 63 75 93 105 147 155 175 217 225 245 279 315 343 441 465 525 651 735 775 1029 1085 1225 1395 1519 1575 1715 1953 2205 2251 2325 3087 3255 3675 4557 5145 5425 6753 6975 7595 8575 9765 10633 11025 11255 13671 15435 15757 16275 20259 22785 25725 31899 33765 37975 47271 48825 53165 56275 68355 69781 77175 78785 95697 101295 110299 113925 141813 159495 168825 209343 236355 265825 330897 341775 348905 393925 478485 488467 506475 551495 628029 709065 772093 797475 992691 1046715 1181775 1465401 1654485 1744525 2316279 2392425 2442335 2757475 3140145 3419269 3545325 3860465 4396203 4963455 5233575 6948837 7327005 8272425 10257807 11581395 12211675 15700725 17096345 19302325 21981015 23934883 24817275 30773421 34744185 36635025 51289035 57906975 71804649 85481725 109905075 119674415 153867105 173720925 215413947 256445175 359023245 598372075 769335525 1077069735 1795116225 5385348675