Search a number
-
+
6266636145 = 3357111931729
BaseRepresentation
bin1011101011000010…
…10100011101110001
3121011201210002201000
411311201110131301
5100313224324040
62513455432213
7311202346140
oct56541243561
917151702630
106266636145
112726397540
12126a825669
1378b3b4733
144363b9757
1526a256130
hex175854771

6266636145 has 128 divisors (see below), whose sum is σ = 14621184000. Its totient is φ = 2467169280.

The previous prime is 6266636087. The next prime is 6266636153. The reversal of 6266636145 is 5416366626.

It is not a de Polignac number, because 6266636145 - 29 = 6266635633 is a prime.

It is a super-2 number, since 2×62666361452 = 78541457147640922050, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6266636145.

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 127 ways as a sum of consecutive naturals, for example, 181641 + ... + 213369.

It is an arithmetic number, because the mean of its divisors is an integer number (114228000).

Almost surely, 26266636145 is an apocalyptic number.

It is an amenable number.

6266636145 is an abundant number, since it is smaller than the sum of its proper divisors (8354547855).

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

6266636145 is a wasteful number, since it uses less digits than its factorization.

6266636145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31780 (or 31774 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 6266636145 is about 79162.0878009164. The cubic root of 6266636145 is about 1843.6486502252.

It can be divided in two parts, 6266 and 636145, that added together give a triangular number (642411 = T1133).

The spelling of 6266636145 in words is "six billion, two hundred sixty-six million, six hundred thirty-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 11 15 19 21 27 33 35 45 55 57 63 77 95 99 105 133 135 165 171 189 209 231 285 297 315 385 399 495 513 627 665 693 855 945 1045 1155 1197 1463 1485 1881 1995 2079 2565 3135 3465 3591 4389 5643 5985 7315 9405 10395 13167 17955 21945 28215 31729 39501 65835 95187 158645 197505 222103 285561 349019 475935 602851 666309 856683 1047057 1110515 1427805 1745095 1808553 1998927 2443133 3014255 3141171 3331545 4219957 4283415 5235285 5425659 5996781 6631361 7329399 9042765 9423513 9994635 12215665 12659871 15705855 16276977 19894083 21099785 21988197 27128295 29983905 33156805 36646995 37979613 46419527 47117565 59682249 63299355 65964591 81384885 99470415 109940985 113938839 139258581 179046747 189898065 232097635 298411245 329822955 417775743 569694195 696292905 895233735 1253327229 2088878715 6266636145