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6706314384 = 2437112517229
BaseRepresentation
bin1100011111011101…
…00011110010010000
3122022101010001212020
412033232203302100
5102213304030014
63025243331440
7325121505660
oct61756436220
918271101766
106706314384
1129315a3290
121371b20b80
1382b509283
1447894c1a0
15293b561a9
hex18fba3c90

6706314384 has 160 divisors (see below), whose sum is σ = 21688611840. Its totient is φ = 1734720000.

The previous prime is 6706314361. The next prime is 6706314389. The reversal of 6706314384 is 4834136076.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6706314389) 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 31 ways as a sum of consecutive naturals, for example, 924082 + ... + 931310.

It is an arithmetic number, because the mean of its divisors is an integer number (135553824).

Almost surely, 26706314384 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 6706314384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844305920).

6706314384 is an abundant number, since it is smaller than the sum of its proper divisors (14982297456).

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

6706314384 is a wasteful number, since it uses less digits than its factorization.

6706314384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 6706314384 is about 81892.0898744195. The cubic root of 6706314384 is about 1885.7956788822.

The spelling of 6706314384 in words is "six billion, seven hundred six million, three hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 251 264 308 336 462 502 528 616 753 924 1004 1232 1506 1757 1848 2008 2761 3012 3514 3696 4016 5271 5522 6024 7028 7229 8283 10542 11044 12048 14056 14458 16566 19327 21084 21687 22088 28112 28916 33132 38654 42168 43374 44176 50603 57832 57981 66264 77308 79519 84336 86748 101206 115664 115962 132528 151809 154616 159038 173496 202412 231924 238557 303618 309232 318076 346992 404824 463848 477114 556633 607236 636152 809648 927696 954228 1113266 1214472 1272304 1669899 1814479 1908456 2226532 2428944 3339798 3628958 3816912 4453064 5443437 6679596 7257916 8906128 10886874 12701353 13359192 14515832 19959269 21773748 25402706 26718384 29031664 38104059 39918538 43547496 50805412 59877807 76208118 79837076 87094992 101610824 119755614 139714883 152416236 159674152 203221648 239511228 279429766 304832472 319348304 419144649 479022456 558859532 609664944 838289298 958044912 1117719064 1676578596 2235438128 3353157192 6706314384