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54244510320312 = 23321324457964359
BaseRepresentation
bin11000101010101110010001…
…10001001100011010111000
321010001201120012011012101100
430111113020301030122320
524102220224120222222
6311211330052051400
714266015351025034
oct1425271061143270
9233051505135340
1054244510320312
1116313a70a19344
126100b48903b60
13243630a16b200
14d5763c22b1c4
15641056a024ac
hex3155c8c4c6b8

54244510320312 has 72 divisors (see below), whose sum is σ = 159082458186600. Its totient is φ = 16690618556352.

The previous prime is 54244510320311. The next prime is 54244510320337. The reversal of 54244510320312 is 21302301544245.

It is a happy number.

54244510320312 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 4 + 5 + 10 + 320 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×542445103203123 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54244510320311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2228970012 + ... + 2228994347.

It is an arithmetic number, because the mean of its divisors is an integer number (2209478585925).

Almost surely, 254244510320312 is an apocalyptic number.

54244510320312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54244510320312 is an abundant number, since it is smaller than the sum of its proper divisors (104837947866288).

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

54244510320312 is a wasteful number, since it uses less digits than its factorization.

54244510320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457964397 (or 4457964377 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 54244510320312 its reverse (21302301544245), we get a palindrome (75546811864557).

The spelling of 54244510320312 in words is "fifty-four trillion, two hundred forty-four billion, five hundred ten million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 4457964359 8915928718 13373893077 17831857436 26747786154 35663714872 40121679231 53495572308 57953536667 80243358462 106991144616 115907073334 160486716924 173860610001 231814146668 320973433848 347721220002 463628293336 521581830003 695442440004 753395976671 1043163660006 1390884880008 1506791953342 2086327320012 2260187930013 3013583906684 4172654640024 4520375860026 6027167813368 6780563790039 9040751720052 13561127580078 18081503440104 27122255160156 54244510320312