Search a number
-
+
6286995168 = 2532314331987
BaseRepresentation
bin1011101101011101…
…11110111011100000
3121020011002110000220
411312232332323200
5100333432321133
62515504043040
7311540401656
oct56656767340
917204073026
106286995168
112736932583
121275603480
137926923ac
14438d98dd6
1526be285b3
hex176bbeee0

6286995168 has 96 divisors (see below), whose sum is σ = 17241590016. Its totient is φ = 2002142208.

The previous prime is 6286995163. The next prime is 6286995179. The reversal of 6286995168 is 8615996826.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (11197440) is a multiple of the sum of its prime factors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6286995163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3163071 + ... + 3165057.

It is an arithmetic number, because the mean of its divisors is an integer number (179599896).

Almost surely, 26286995168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6286995168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620795008).

6286995168 is an abundant number, since it is smaller than the sum of its proper divisors (10954594848).

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

6286995168 is a wasteful number, since it uses less digits than its factorization.

6286995168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3448 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

The square root of 6286995168 is about 79290.5742695814. The cubic root of 6286995168 is about 1845.6430381702.

The spelling of 6286995168 in words is "six billion, two hundred eighty-six million, nine hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1433 1987 2208 2866 3974 4299 5732 5961 7948 8598 11464 11922 15896 17196 22928 23844 31792 32959 34392 45701 45856 47688 63584 65918 68784 91402 95376 98877 131836 137103 137568 182804 190752 197754 263672 274206 365608 395508 527344 548412 731216 791016 1054688 1096824 1462432 1582032 2193648 2847371 3164064 4387296 5694742 8542113 11389484 17084226 22778968 34168452 45557936 65489533 68336904 91115872 130979066 136673808 196468599 261958132 273347616 392937198 523916264 785874396 1047832528 1571748792 2095665056 3143497584 6286995168