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54242322324246 = 23371131463386783
BaseRepresentation
bin11000101010101010001100…
…10110101001101100010110
321010001111220201001111001000
430111111012112221230112
524102201234003333441
6311210325011444130
714265610212252540
oct1425250626515426
9233044821044030
1054242322324246
1116313048948531
126100637bb6646
13243604ba80594
14d574b17d6690
15640e798a72b6
hex3155465a9b16

54242322324246 has 128 divisors (see below), whose sum is σ = 138988477808640. Its totient is φ = 15359430933504.

The previous prime is 54242322324227. The next prime is 54242322324259. The reversal of 54242322324246 is 64242322324245.

It is a happy number.

54242322324246 is a `hidden beast` number, since 5 + 4 + 2 + 42 + 322 + 3 + 242 + 46 = 666.

It is a super-2 number, since 2×542423223242462 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624990571 + ... + 625077353.

It is an arithmetic number, because the mean of its divisors is an integer number (1085847482880).

Almost surely, 254242322324246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54242322324246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69494238904320).

54242322324246 is an abundant number, since it is smaller than the sum of its proper divisors (84746155484394).

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

54242322324246 is a wasteful number, since it uses less digits than its factorization.

54242322324246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101547 (or 101541 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 45.

Subtracting 54242322324246 from its reverse (64242322324245), we obtain a palindrome (9999999999999).

The spelling of 54242322324246 in words is "fifty-four trillion, two hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 113 126 189 226 339 378 678 791 1017 1582 2034 2373 3051 4746 6102 7119 14238 14633 21357 29266 42714 43899 86783 87798 102431 131697 173566 204862 260349 263394 307293 395091 520698 607481 614586 781047 790182 921879 1214962 1562094 1653529 1822443 1843758 2343141 2765637 3307058 3644886 4686282 4960587 5467329 5531274 9806479 9921174 10934658 11574703 14881761 16401987 19612958 23149406 29419437 29763522 32803974 34724109 44645283 58838874 68645353 69448218 88258311 89290566 104172327 137290706 176516622 205936059 208344654 264774933 312516981 411872118 529549866 617808177 625033962 1235616354 1269895639 1853424531 2539791278 3706849062 3809686917 7619373834 8889269473 11429060751 17778538946 22858121502 26667808419 34287182253 53335616838 68574364506 80003425257 143498207207 160006850514 240010275771 286996414414 430494621621 480020551542 860989243242 1004487450449 1291483864863 2008974900898 2582967729726 3013462351347 3874451594589 6026924702694 7748903189178 9040387054041 18080774108082 27121161162123 54242322324246