Search a number
-
+
6385904244135 = 3351335310307909
BaseRepresentation
bin101110011101101010110…
…0011011101010110100111
3211121111010122110022222000
41130323111203131112213
51314111312441303020
621325351030140343
71226236442316063
oct134732543352647
924544118408860
106385904244135
112042279513839
1287176a4b16b3
1337425a5a34a0
14181117cb0aa3
15b11a3136090
hex5ced58dd5a7

6385904244135 has 64 divisors (see below), whose sum is σ = 12260640470400. Its totient is φ = 3134923444224.

The previous prime is 6385904244059. The next prime is 6385904244143. The reversal of 6385904244135 is 5314424095836.

It is a happy number.

6385904244135 is a `hidden beast` number, since 6 + 3 + 8 + 590 + 4 + 2 + 4 + 41 + 3 + 5 = 666.

It is not a de Polignac number, because 6385904244135 - 28 = 6385904243879 is a prime.

It is a super-2 number, since 2×63859042441352 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4534440 + ... + 5773469.

It is an arithmetic number, because the mean of its divisors is an integer number (191572507350).

Almost surely, 26385904244135 is an apocalyptic number.

6385904244135 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6385904244135 is a deficient number, since it is larger than the sum of its proper divisors (5874736226265).

6385904244135 is a wasteful number, since it uses less digits than its factorization.

6385904244135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10308289 (or 10308283 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 6385904244135 in words is "six trillion, three hundred eighty-five billion, nine hundred four million, two hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 353 585 1059 1755 1765 3177 4589 5295 9531 13767 15885 22945 41301 47655 68835 123903 206505 619515 10307909 30923727 51539545 92771181 134002817 154618635 278313543 402008451 463855905 670014085 1206025353 1391567715 2010042255 3618076059 3638691877 6030126765 10916075631 18090380295 18193459385 32748226893 47302994401 54580378155 98244680679 141908983203 163741134465 236514972005 425726949609 491223403395 709544916015 1277180848827 2128634748045 6385904244135