Search a number
-
+
4253104824705 = 335114771858269
BaseRepresentation
bin111101111001000000110…
…011010110000110000001
3120001121000012001222212000
4331321000303112012001
51024140324313342310
613013503244454213
7616163621344002
oct75710063260601
916047005058760
104253104824705
11139a805882650
1258834424a369
1324b0b21b16b9
14109bcc2431a9
15759766724c0
hex3de40cd6181

4253104824705 has 128 divisors (see below), whose sum is σ = 8542601625600. Its totient is φ = 1989808531200.

The previous prime is 4253104824677. The next prime is 4253104824719. The reversal of 4253104824705 is 5074284013524.

4253104824705 is a `hidden beast` number, since 4 + 2 + 531 + 0 + 48 + 2 + 4 + 70 + 5 = 666.

It is not a de Polignac number, because 4253104824705 - 26 = 4253104824641 is a prime.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4526311 + ... + 5384579.

It is an arithmetic number, because the mean of its divisors is an integer number (66739075200).

Almost surely, 24253104824705 is an apocalyptic number.

4253104824705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4253104824705 is an abundant number, since it is smaller than the sum of its proper divisors (4289496800895).

4253104824705 is a wasteful number, since it uses less digits than its factorization.

4253104824705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858412 (or 858406 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4253104824705 in words is "four trillion, two hundred fifty-three billion, one hundred four million, eight hundred twenty-four thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 71 99 135 141 165 213 235 297 355 423 495 517 639 705 781 1065 1269 1485 1551 1917 2115 2343 2585 3195 3337 3905 4653 6345 7029 7755 9585 10011 11715 13959 16685 21087 23265 30033 35145 36707 50055 69795 90099 105435 110121 150165 183535 330363 450495 550605 858269 991089 1651815 2574807 4291345 4955445 7724421 9440959 12874035 23173263 28322877 38622105 40338643 47204795 60937099 84968631 115866315 121015929 141614385 182811297 201693215 254905893 304685495 363047787 424843155 443725073 548433891 605079645 670308089 914056485 1089143361 1274529465 1331175219 1645301673 1815238935 2010924267 2218625365 2742169455 2864043653 3351540445 3993525657 5445716805 6032772801 6655876095 8226508365 8592130959 10054621335 11980576971 14320218265 18098318403 19967628285 25776392877 30163864005 31504480183 42960654795 59902884855 77329178631 90491592015 94513440549 128881964385 157522400915 283540321647 386645893155 472567202745 850620964941 1417701608235 4253104824705