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54001557000 = 2332536000173
BaseRepresentation
bin110010010010101111…
…100101111000001000
312011101110110022212200
4302102233211320020
51341043344311000
640450304440200
73621131442456
oct622257457010
9164343408780
1054001557000
11209a1520056
12a571019060
135127ab8031
142883d6b9d6
151610d26500
hexc92be5e08

54001557000 has 96 divisors (see below), whose sum is σ = 182525293080. Its totient is φ = 14400412800.

The previous prime is 54001556957. The next prime is 54001557011. The reversal of 54001557000 is 75510045.

54001557000 is a `hidden beast` number, since 540 + 0 + 1 + 55 + 70 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14542912836 + 39458644164 = 120594^2 + 198642^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 2991087 + ... + 3009086.

Almost surely, 254001557000 is an apocalyptic number.

54001557000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54001557000 is an abundant number, since it is smaller than the sum of its proper divisors (128523736080).

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

54001557000 is a wasteful number, since it uses less digits than its factorization.

54001557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000200 (or 6000183 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The spelling of 54001557000 in words is "fifty-four billion, one million, five hundred fifty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 6000173 12000346 18000519 24000692 30000865 36001038 48001384 54001557 60001730 72002076 90002595 108003114 120003460 144004152 150004325 180005190 216006228 240006920 270007785 300008650 360010380 432012456 450012975 540015570 600017300 720020760 750021625 900025950 1080031140 1200034600 1350038925 1500043250 1800051900 2160062280 2250064875 2700077850 3000086500 3600103800 4500129750 5400155700 6000173000 6750194625 9000259500 10800311400 13500389250 18000519000 27000778500 54001557000