Search a number
-
+
422162105456 = 247132157142061
BaseRepresentation
bin1100010010010101101…
…00101000010001110000
31111100200012110222100102
412021022310220101300
523404041444333311
6521534423011532
742333366455240
oct6111264502160
91440605428312
10422162105456
11153046559233
1269999299ba8
1330a6ac3a200
141660b69db20
15aeac39843b
hex624ad28470

422162105456 has 120 divisors (see below), whose sum is σ = 1018680005664. Its totient is φ = 165944263680.

The previous prime is 422162105389. The next prime is 422162105531. The reversal of 422162105456 is 654501261224.

It is a congruent number.

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, 2900666 + ... + 3042726.

Almost surely, 2422162105456 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 422162105456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509340002832).

422162105456 is an abundant number, since it is smaller than the sum of its proper divisors (596517900208).

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

422162105456 is a wasteful number, since it uses less digits than its factorization.

422162105456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142259 (or 142240 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 422162105456 in words is "four hundred twenty-two billion, one hundred sixty-two million, one hundred five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 157 169 182 208 314 338 364 628 676 728 1099 1183 1256 1352 1456 2041 2198 2366 2512 2704 4082 4396 4732 8164 8792 9464 14287 16328 17584 18928 26533 28574 32656 53066 57148 106132 114296 142061 185731 212264 228592 284122 371462 424528 568244 742924 994427 1136488 1485848 1846793 1988854 2272976 2971696 3693586 3977708 7387172 7955416 12927551 14774344 15910832 22303577 24008309 25855102 29548688 44607154 48016618 51710204 89214308 96033236 103420408 156125039 168058163 178428616 192066472 206840816 289946501 312250078 336116326 356857232 384132944 579893002 624500156 672232652 1159786004 1249000312 1344465304 2029625507 2319572008 2498000624 2688930608 3769304513 4059251014 4639144016 7538609026 8118502028 15077218052 16237004056 26385131591 30154436104 32474008112 52770263182 60308872208 105540526364 211081052728 422162105456