Search a number
-
+
14426552646 = 232113110921563
BaseRepresentation
bin11010110111110001…
…11011100101000110
31101020102002210210200
431123320323211012
5214021144141041
610343311031330
71020334450152
oct153370734506
941212083720
1014426552646
11613345a590
12296750b546
13148bab92ac
149abdd0062
155967de1b6
hex35be3b946

14426552646 has 96 divisors (see below), whose sum is σ = 35523671040. Its totient is φ = 4191652800.

The previous prime is 14426552639. The next prime is 14426552669. The reversal of 14426552646 is 64625562441.

14426552646 is a `hidden beast` number, since 14 + 4 + 26 + 552 + 64 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658261 + ... + 679823.

It is an arithmetic number, because the mean of its divisors is an integer number (370038240).

Almost surely, 214426552646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14426552646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17761835520).

14426552646 is an abundant number, since it is smaller than the sum of its proper divisors (21097118394).

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

14426552646 is a wasteful number, since it uses less digits than its factorization.

14426552646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21722 (or 21719 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 14426552646 in words is "fourteen billion, four hundred twenty-six million, five hundred fifty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 109 186 198 218 279 327 341 558 654 682 981 1023 1199 1962 2046 2398 3069 3379 3597 6138 6758 7194 10137 10791 20274 21563 21582 30411 37169 43126 60822 64689 74338 111507 129378 194067 223014 237193 334521 388134 474386 668453 669042 711579 1336906 1423158 2005359 2134737 2350367 4010718 4269474 4700734 6016077 7051101 7352983 12032154 14102202 14705966 21153303 22058949 25854037 42306606 44117898 51708074 66176847 72861377 77562111 132353694 145722754 155124222 218584131 232686333 437168262 465372666 655752393 801475147 1311504786 1602950294 2404425441 4808850882 7213276323 14426552646