Search a number
-
+
204422246632656 = 24331336399972691
BaseRepresentation
bin101110011110101111000011…
…011001010000110011010000
3222210210120112211212011101000
4232132233003121100303100
5203243223230114221111
62002434141134142000
761026006560426163
oct5636570331206320
9883716484764330
10204422246632656
115a153a95a46738
121ab16498951900
138a0ac2067b6c0
14386a137947ada
151897759a3cc56
hexb9ebc3650cd0

204422246632656 has 80 divisors (see below), whose sum is σ = 631903525933120. Its totient is φ = 62899152808320.

The previous prime is 204422246632619. The next prime is 204422246632673. The reversal of 204422246632656 is 656236642224402.

204422246632656 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 22 + 246 + 6 + 326 + 56 = 666.

204422246632656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2044222466326562 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18199980730 + ... + 18199991961.

It is an arithmetic number, because the mean of its divisors is an integer number (7898794074164).

Almost surely, 2204422246632656 is an apocalyptic number.

204422246632656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

204422246632656 is an abundant number, since it is smaller than the sum of its proper divisors (427481279300464).

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

204422246632656 is a wasteful number, since it uses less digits than its factorization.

204422246632656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36399972721 (or 36399972709 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 204422246632656 in words is "two hundred four trillion, four hundred twenty-two billion, two hundred forty-six million, six hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 36399972691 72799945382 109199918073 145599890764 218399836146 291199781528 327599754219 436799672292 473199644983 582399563056 655199508438 873599344584 946399289966 982799262657 1310399016876 1419598934949 1747198689168 1892798579932 1965598525314 2620798033752 2839197869898 3785597159864 3931197050628 4258796804847 5241596067504 5678395739796 7571194319728 7862394101256 8517593609694 11356791479592 12776390414541 15724788202512 17035187219388 22713582959184 25552780829082 34070374438776 51105561658164 68140748877552 102211123316328 204422246632656