Search a number
-
+
4285416026106 = 23359222797919
BaseRepresentation
bin111110010111000110101…
…100110010111111111010
3120011200102000022002112000
4332113012230302333322
51030203013000313411
613040405402001430
7621416414126235
oct76270654627772
916150360262460
104285416026106
111402486698486
125926611a6276
13251161341297
1410b5b55d441c
1576718131956
hex3e5c6b32ffa

4285416026106 has 48 divisors (see below), whose sum is σ = 9687292166400. Its totient is φ = 1404260557128.

The previous prime is 4285416026069. The next prime is 4285416026147. The reversal of 4285416026106 is 6016206145824.

It is a happy number.

4285416026106 is a `hidden beast` number, since 4 + 28 + 5 + 4 + 1 + 6 + 0 + 2 + 610 + 6 = 666.

It is a super-2 number, since 2×42854160261062 (a number of 26 digits) contains 22 as substring.

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, 11210986 + ... + 11586933.

It is an arithmetic number, because the mean of its divisors is an integer number (201818586800).

Almost surely, 24285416026106 is an apocalyptic number.

4285416026106 is an abundant number, since it is smaller than the sum of its proper divisors (5401876140294).

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

4285416026106 is a wasteful number, since it uses less digits than its factorization.

4285416026106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22798048 (or 22797983 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4285416026106 in words is "four trillion, two hundred eighty-five billion, four hundred sixteen million, twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 3481 6962 10443 20886 31329 62658 93987 187974 22797919 45595838 68393757 136787514 205181271 410362542 615543813 1231087626 1345077221 2690154442 4035231663 8070463326 12105694989 24211389978 36317084967 72634169934 79359556039 158719112078 238078668117 476157336234 714236004351 1428472008702 2142708013053 4285416026106