Search a number
-
+
46540122020 = 2257618576359
BaseRepresentation
bin101011010110000000…
…011110011110100100
311110010110110011021222
4223112000132132210
51230303232401040
633214044155512
73235210336640
oct532600363644
9143113404258
1046540122020
111881275a567
12902a238b98
134509010652
142377017c20
151325c60bb5
hexad601e7a4

46540122020 has 96 divisors (see below), whose sum is σ = 113677724160. Its totient is φ = 15674250240.

The previous prime is 46540122011. The next prime is 46540122043. The reversal of 46540122020 is 2022104564.

It is a super-3 number, since 3×465401220203 (a number of 33 digits) contains 333 as substring.

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, 7315601 + ... + 7321959.

It is an arithmetic number, because the mean of its divisors is an integer number (1184142960).

Almost surely, 246540122020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46540122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56838862080).

46540122020 is an abundant number, since it is smaller than the sum of its proper divisors (67137602140).

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

46540122020 is a wasteful number, since it uses less digits than its factorization.

46540122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7291 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 46540122020 its reverse (2022104564), we get a palindrome (48562226584).

The spelling of 46540122020 in words is "forty-six billion, five hundred forty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 857 1220 1708 1714 2135 3428 4270 4285 5999 6359 8540 8570 11998 12718 17140 23996 25436 29995 31795 44513 52277 59990 63590 89026 104554 119980 127180 178052 209108 222565 261385 365939 387899 445130 522770 731878 775798 890260 1045540 1463756 1551596 1829695 1939495 2715293 3659390 3878990 5430586 5449663 7318780 7757980 10861172 10899326 13576465 21798652 27152930 27248315 38147641 54305860 54496630 76295282 108993260 152590564 190738205 332429443 381476410 664858886 762952820 1329717772 1662147215 2327006101 3324294430 4654012202 6648588860 9308024404 11635030505 23270061010 46540122020