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54852049008 = 24322336745127
BaseRepresentation
bin110011000101011011…
…111101100001110000
312020120201210210120200
4303011123331201300
51344314111032013
641110525435200
73651166503141
oct630533754160
9166521723520
1054852049008
1121298608309
12a769a0bb00
135232069243
142924cbbac8
151660823e73
hexcc56fd870

54852049008 has 120 divisors (see below), whose sum is σ = 160623909888. Its totient is φ = 17441018496.

The previous prime is 54852048997. The next prime is 54852049027. The reversal of 54852049008 is 80094025845.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192941 + ... + 1238067.

Almost surely, 254852049008 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 54852049008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80311954944).

54852049008 is an abundant number, since it is smaller than the sum of its proper divisors (105771860880).

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

54852049008 is a wasteful number, since it uses less digits than its factorization.

54852049008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45531 (or 45522 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 54852049008 in words is "fifty-four billion, eight hundred fifty-two million, forty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 367 368 414 552 734 828 1101 1104 1468 1656 2202 2936 3303 3312 4404 5872 6606 8441 8808 13212 16882 17616 25323 26424 33764 45127 50646 52848 67528 75969 90254 101292 135056 135381 151938 180508 202584 270762 303876 361016 405168 406143 541524 607752 722032 812286 1037921 1083048 1215504 1624572 2075842 2166096 3113763 3249144 4151684 6227526 6498288 8303368 9341289 12455052 16561609 16606736 18682578 24910104 33123218 37365156 49684827 49820208 66246436 74730312 99369654 132492872 149054481 149460624 198739308 264985744 298108962 380917007 397478616 596217924 761834014 794957232 1142751021 1192435848 1523668028 2285502042 2384871696 3047336056 3428253063 4571004084 6094672112 6856506126 9142008168 13713012252 18284016336 27426024504 54852049008