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54546226231432 = 231329173223946691
BaseRepresentation
bin11000110011100000010000…
…11100000011100010001000
321011010120100021212112200011
430121300020130003202020
524122141132403401212
6312002105043121304
714326556222661625
oct1431601034034210
9234116307775604
1054546226231432
111641aa19766001
12614b510973234
1324588c1627630
14d680a11d734c
15648d14b594a7
hex319c08703888

54546226231432 has 128 divisors (see below), whose sum is σ = 114651645696000. Its totient is φ = 24155257512960.

The previous prime is 54546226231411. The next prime is 54546226231447. The reversal of 54546226231432 is 23413262264545.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168215207 + ... + 1168261897.

It is an arithmetic number, because the mean of its divisors is an integer number (895715982000).

Almost surely, 254546226231432 is an apocalyptic number.

54546226231432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54546226231432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57325822848000).

54546226231432 is an abundant number, since it is smaller than the sum of its proper divisors (60105419464568).

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

54546226231432 is a wasteful number, since it uses less digits than its factorization.

54546226231432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49151 (or 49147 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 49.

Adding to 54546226231432 its reverse (23413262264545), we get a palindrome (77959488495977).

The spelling of 54546226231432 in words is "fifty-four trillion, five hundred forty-six billion, two hundred twenty-six million, two hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 173 232 346 377 692 754 1384 1508 2239 2249 3016 4478 4498 5017 8956 8996 10034 17912 17992 20068 29107 40136 46691 58214 64931 65221 93382 116428 129862 130442 186764 232856 259724 260884 373528 387347 519448 521768 606983 774694 844103 1213966 1354039 1549388 1688206 2427932 2708078 3098776 3376412 4855864 5035511 5416156 6752824 8077543 10071022 10832312 11233063 16155086 17602507 20142044 22466126 32310172 35205014 40284088 44932252 64620344 70410028 89864504 104541149 105008059 140820056 146029819 209082298 210016118 234248747 292059638 418164596 420032236 468497494 584119276 836329192 840064472 936994988 1168238552 1359034937 1873989976 2718069874 3031693321 3045233711 5436139748 6063386642 6090467422 10872279496 12126773284 12180934844 18085618777 24253546568 24361869688 36171237554 39412013173 72342475108 78824026346 144684950216 157648052692 235113044101 315296105384 470226088202 524482944533 940452176404 1048965889066 1880904352808 2097931778132 4195863556264 6818278278929 13636556557858 27273113115716 54546226231432