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54015540000 = 25354900259
BaseRepresentation
bin110010010011100100…
…111011101100100000
312011102102202201221120
4302103210323230200
51341110434240000
640451524252240
73621361341312
oct622344735440
9164372681846
1054015540000
11209a9400754
12a575841080
13512a9727b6
142885b6b7b2
1516121896a0
hexc9393bb20

54015540000 has 120 divisors (see below), whose sum is σ = 177181971120. Its totient is φ = 14404128000.

The previous prime is 54015539971. The next prime is 54015540011. The reversal of 54015540000 is 4551045.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×540155400002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 19 ways as a sum of consecutive naturals, for example, 390130 + ... + 510129.

It is an arithmetic number, because the mean of its divisors is an integer number (1476516426).

Almost surely, 254015540000 is an apocalyptic number.

54015540000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54015540000 is an abundant number, since it is smaller than the sum of its proper divisors (123166431120).

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

54015540000 is an equidigital number, since it uses as much as digits as its factorization.

54015540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900292 (or 900269 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 54015540000 in words is "fifty-four billion, fifteen million, five hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 900259 1800518 2700777 3601036 4501295 5401554 7202072 9002590 10803108 13503885 14404144 18005180 21606216 22506475 27007770 28808288 36010360 43212432 45012950 54015540 67519425 72020720 86424864 90025900 108031080 112532375 135038850 144041440 180051800 216062160 225064750 270077700 337597125 360103600 432124320 450129500 540155400 562661875 675194250 720207200 900259000 1080310800 1125323750 1350388500 1687985625 1800518000 2160621600 2250647500 2700777000 3375971250 3601036000 4501295000 5401554000 6751942500 9002590000 10803108000 13503885000 18005180000 27007770000 54015540000