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54532113144 = 23331109672439
BaseRepresentation
bin110010110010010111…
…100000001011111000
312012202102210101002020
4302302113200023320
51343140210110034
641015100234440
73640233212415
oct626227401370
9165672711066
1054532113144
1121143a57803
12a69a83ba20
1351b09ab292
1428d45d910c
1516426c8249
hexcb25e02f8

54532113144 has 64 divisors (see below), whose sum is σ = 142019328000. Its totient is φ = 17429592960.

The previous prime is 54532113121. The next prime is 54532113151. The reversal of 54532113144 is 44131123545.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255124 + ... + 417315.

It is an arithmetic number, because the mean of its divisors is an integer number (2219052000).

Almost surely, 254532113144 is an apocalyptic number.

It is an amenable number.

54532113144 is an abundant number, since it is smaller than the sum of its proper divisors (87487214856).

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

54532113144 is a wasteful number, since it uses less digits than its factorization.

54532113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672588 (or 672584 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 54532113144 its reverse (44131123545), we get a palindrome (98663236689).

The spelling of 54532113144 in words is "fifty-four billion, five hundred thirty-two million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 109 124 186 218 248 327 372 436 654 744 872 1308 2616 3379 6758 10137 13516 20274 27032 40548 81096 672439 1344878 2017317 2689756 4034634 5379512 8069268 16138536 20845609 41691218 62536827 73295851 83382436 125073654 146591702 166764872 219887553 250147308 293183404 439775106 500294616 586366808 879550212 1759100424 2272171381 4544342762 6816514143 9088685524 13633028286 18177371048 27266056572 54532113144