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6458813340 = 2235759925673
BaseRepresentation
bin1100000001111100…
…11010101110011100
3121200010101201020220
412000332122232130
5101211424011330
62544522441340
7316025002410
oct60076325634
917603351226
106458813340
112814917071
121303063250
137bc160155
14453b22d40
1527c067710
hex180f9ab9c

6458813340 has 96 divisors (see below), whose sum is σ = 20703513600. Its totient is φ = 1473778176.

The previous prime is 6458813311. The next prime is 6458813363. The reversal of 6458813340 is 433188546.

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

It is a junction number, because it is equal to n+sod(n) for n = 6458813292 and 6458813301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 238744 + ... + 264416.

It is an arithmetic number, because the mean of its divisors is an integer number (215661600).

Almost surely, 26458813340 is an apocalyptic number.

6458813340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6458813340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351756800).

6458813340 is an abundant number, since it is smaller than the sum of its proper divisors (14244700260).

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

6458813340 is a wasteful number, since it uses less digits than its factorization.

6458813340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26291 (or 26289 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6458813340 is about 80366.7427484777. The cubic root of 6458813340 is about 1862.3054370278.

The spelling of 6458813340 in words is "six billion, four hundred fifty-eight million, eight hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 599 1198 1797 2396 2995 3594 4193 5990 7188 8386 8985 11980 12579 16772 17970 20965 25158 25673 35940 41930 50316 51346 62895 77019 83860 102692 125790 128365 154038 179711 251580 256730 308076 359422 385095 513460 539133 718844 770190 898555 1078266 1540380 1797110 2156532 2695665 3594220 5391330 10782660 15378127 30756254 46134381 61512508 76890635 92268762 107646889 153781270 184537524 215293778 230671905 307562540 322940667 430587556 461343810 538234445 645881334 922687620 1076468890 1291762668 1614703335 2152937780 3229406670 6458813340