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206416741420 = 22517259360223
BaseRepresentation
bin1100000000111101100…
…1011000010000101100
3201201210112111220221001
43000033121120100230
511340220141211140
6234454311050044
720625125231641
oct3001731302054
9651715456831
10206416741420
117a5a4961a8a
1234008670924
131660783b6a6
149dc23b1dc8
15558197ae9a
hex300f65842c

206416741420 has 72 divisors (see below), whose sum is σ = 461257784064. Its totient is φ = 77577498624.

The previous prime is 206416741409. The next prime is 206416741441. The reversal of 206416741420 is 24147614602.

It is a super-2 number, since 2×2064167414202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 206416741420.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3397429 + ... + 3457651.

It is an arithmetic number, because the mean of its divisors is an integer number (6406358112).

Almost surely, 2206416741420 is an apocalyptic number.

206416741420 is a gapful number since it is divisible by the number (20) 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 206416741420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230628892032).

206416741420 is an abundant number, since it is smaller than the sum of its proper divisors (254841042644).

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

206416741420 is a wasteful number, since it uses less digits than its factorization.

206416741420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60859 (or 60840 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 206416741420 in words is "two hundred six billion, four hundred sixteen million, seven hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 593 1156 1186 1445 2372 2890 2965 5780 5930 10081 11860 20162 40324 50405 60223 100810 120446 171377 201620 240892 301115 342754 602230 685508 856885 1023791 1204460 1713770 2047582 3427540 4095164 5118955 10237910 17404447 20475820 34808894 35712239 69617788 71424478 87022235 142848956 174044470 178561195 348088940 357122390 607108063 714244780 1214216126 2428432252 3035540315 6071080630 10320837071 12142161260 20641674142 41283348284 51604185355 103208370710 206416741420