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54485480080 = 24517239167627
BaseRepresentation
bin110010101111100101…
…100111001010010000
312012122012001011112201
4302233211213022100
51343041240330310
641010312532544
73636125640103
oct625745471220
9165565034481
1054485480080
112111a6a6689
12a6870b1154
1351a4131555
1428cc33a73a
15163d565e3a
hexcaf967290

54485480080 has 80 divisors (see below), whose sum is σ = 134692450560. Its totient is φ = 20426233856.

The previous prime is 54485480039. The next prime is 54485480081. The reversal of 54485480080 is 8008458445.

54485480080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 54485480080.

It is not an unprimeable number, because it can be changed into a prime (54485480081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241227 + ... + 408853.

It is an arithmetic number, because the mean of its divisors is an integer number (1683655632).

Almost surely, 254485480080 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 54485480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67346225280).

54485480080 is an abundant number, since it is smaller than the sum of its proper divisors (80206970480).

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

54485480080 is a wasteful number, since it uses less digits than its factorization.

54485480080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167896 (or 167890 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 46.

The spelling of 54485480080 in words is "fifty-four billion, four hundred eighty-five million, four hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 239 272 340 478 680 956 1195 1360 1912 2390 3824 4063 4780 8126 9560 16252 19120 20315 32504 40630 65008 81260 162520 167627 325040 335254 670508 838135 1341016 1676270 2682032 2849659 3352540 5699318 6705080 11398636 13410160 14248295 22797272 28496590 40062853 45594544 56993180 80125706 113986360 160251412 200314265 227972720 320502824 400628530 641005648 681068501 801257060 1362137002 1602514120 2724274004 3205028240 3405342505 5448548008 6810685010 10897096016 13621370020 27242740040 54485480080