Search a number
-
+
6704058493116 = 2234171660373309
BaseRepresentation
bin110000110001110100100…
…0001100110100010111100
3212201220100100210202120000
41201203221001212202330
51334314402433234431
622131445115554300
71261231550651145
oct141435101464274
925656310722500
106704058493116
1121551a2276a96
1290335b75b990
1339826158b54a
1419269a112acc
15b95c44bb9e6
hex618e90668bc

6704058493116 has 120 divisors (see below), whose sum is σ = 18558029453040. Its totient is φ = 2103078670848.

The previous prime is 6704058493091. The next prime is 6704058493123. The reversal of 6704058493116 is 6113948504076.

6704058493116 is a `hidden beast` number, since 6 + 7 + 0 + 40 + 584 + 9 + 3 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 91412670 + ... + 91485978.

It is an arithmetic number, because the mean of its divisors is an integer number (154650245442).

Almost surely, 26704058493116 is an apocalyptic number.

It is an amenable number.

6704058493116 is an abundant number, since it is smaller than the sum of its proper divisors (11853970959924).

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

6704058493116 is a wasteful number, since it uses less digits than its factorization.

6704058493116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89945 (or 89934 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 6704058493116 in words is "six trillion, seven hundred four billion, fifty-eight million, four hundred ninety-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 16603 33206 49809 66412 73309 99618 146618 149427 199236 219927 282251 293236 298854 439854 448281 564502 597708 659781 846753 879708 896562 1129004 1246253 1319562 1344843 1693506 1793124 1979343 2492506 2540259 2639124 2689686 3387012 3738759 3958686 4985012 5080518 5379372 5938029 7477518 7620777 7917372 10161036 11216277 11876058 14955036 15241554 22432554 22862331 23752116 30483108 33648831 44865108 45724662 67297662 91449324 100946493 134595324 201892986 403785972 1217149327 2434298654 3651447981 4868597308 7302895962 10954343943 14605791924 20691538559 21908687886 32863031829 41383077118 43817375772 62074615677 65726063658 82766154236 98589095487 124149231354 131452127316 186223847031 197178190974 248298462708 372447694062 394356381948 558671541093 744895388124 1117343082186 1676014623279 2234686164372 3352029246558 6704058493116