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6796208040 = 2335197141983
BaseRepresentation
bin1100101010001010…
…11110011110101000
3122112122021010202220
412111011132132220
5102404312124130
63042214154040
7330262546416
oct62505363650
918478233686
106796208040
112978311766
121398052920
1384402199b
1448686c2b6
1529b9b1410
hex19515e7a8

6796208040 has 128 divisors (see below), whose sum is σ = 21764505600. Its totient is φ = 1692714240.

The previous prime is 6796208033. The next prime is 6796208051. The reversal of 6796208040 is 408026976.

It is a junction number, because it is equal to n+sod(n) for n = 6796207983 and 6796208001.

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, 140889 + ... + 182871.

It is an arithmetic number, because the mean of its divisors is an integer number (170035200).

Almost surely, 26796208040 is an apocalyptic number.

6796208040 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 6796208040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882252800).

6796208040 is an abundant number, since it is smaller than the sum of its proper divisors (14968297560).

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

6796208040 is a wasteful number, since it uses less digits than its factorization.

6796208040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42087 (or 42083 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6796208040 is about 82439.1171714011. The cubic root of 6796208040 is about 1894.1842517096.

The spelling of 6796208040 in words is "six billion, seven hundred ninety-six million, two hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 71 76 95 114 120 142 152 190 213 228 284 285 355 380 426 456 568 570 710 760 852 1065 1140 1349 1420 1704 2130 2280 2698 2840 4047 4260 5396 6745 8094 8520 10792 13490 16188 20235 26980 32376 40470 41983 53960 80940 83966 125949 161880 167932 209915 251898 335864 419830 503796 629745 797677 839660 1007592 1259490 1595354 1679320 2393031 2518980 2980793 3190708 3988385 4786062 5037960 5961586 6381416 7976770 8942379 9572124 11923172 11965155 14903965 15953540 17884758 19144248 23846344 23930310 29807930 31907080 35769516 44711895 47860620 56635067 59615860 71539032 89423790 95721240 113270134 119231720 169905201 178847580 226540268 283175335 339810402 357695160 453080536 566350670 679620804 849526005 1132701340 1359241608 1699052010 2265402680 3398104020 6796208040