Search a number
-
+
20035042416 = 243371653203
BaseRepresentation
bin10010101010001011…
…100111110001110000
31220201021110121102000
4102222023213301300
5312012432324131
613112020254000
71306326023244
oct225213476160
956637417360
1020035042416
1185512939a4
123a71841300
131b73a26aac
14d80c08424
157c3d8dce6
hex4aa2e7c70

20035042416 has 80 divisors (see below), whose sum is σ = 58318053120. Its totient is φ = 6584276160.

The previous prime is 20035042381. The next prime is 20035042429. The reversal of 20035042416 is 61424053002.

20035042416 is a `hidden beast` number, since 200 + 3 + 5 + 0 + 42 + 416 = 666.

It is a super-2 number, since 2×200350424162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20035042416.

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 15 ways as a sum of consecutive naturals, for example, 295930 + ... + 357273.

It is an arithmetic number, because the mean of its divisors is an integer number (728975664).

Almost surely, 220035042416 is an apocalyptic number.

It is an amenable number.

20035042416 is an abundant number, since it is smaller than the sum of its proper divisors (38283010704).

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

20035042416 is a wasteful number, since it uses less digits than its factorization.

20035042416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653291 (or 653279 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20035042416 its reverse (61424053002), we get a palindrome (81459095418).

The spelling of 20035042416 in words is "twenty billion, thirty-five million, forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2556 3408 3834 5112 7668 10224 15336 30672 653203 1306406 1959609 2612812 3919218 5225624 5878827 7838436 10451248 11757654 15676872 17636481 23515308 31353744 35272962 46377413 47030616 70545924 92754826 94061232 139132239 141091848 185509652 278264478 282183696 371019304 417396717 556528956 742038608 834793434 1113057912 1252190151 1669586868 2226115824 2504380302 3339173736 5008760604 6678347472 10017521208 20035042416