Search a number
-
+
54024773000 = 23531137132739
BaseRepresentation
bin110010010100001000…
…001001110110001000
312011110002010211020112
4302110020021312020
51341120320214000
640452454213452
73621532664552
oct622410116610
9164402124215
1054024773000
1120a03637630
12a578954288
13512c856203
1428870924d2
151612db0235
hexc94209d88

54024773000 has 128 divisors (see below), whose sum is σ = 141638889600. Its totient is φ = 19114272000.

The previous prime is 54024772999. The next prime is 54024773009. The reversal of 54024773000 is 37742045.

It is not an unprimeable number, because it can be changed into a prime (54024773009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340631 + ... + 473369.

It is an arithmetic number, because the mean of its divisors is an integer number (1106553825).

Almost surely, 254024773000 is an apocalyptic number.

54024773000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54024773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70819444800).

54024773000 is an abundant number, since it is smaller than the sum of its proper divisors (87614116600).

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

54024773000 is a wasteful number, since it uses less digits than its factorization.

54024773000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132808 (or 132794 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The spelling of 54024773000 in words is "fifty-four billion, twenty-four million, seven hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 125 148 185 200 220 250 275 296 370 407 440 500 550 740 814 925 1000 1100 1375 1480 1628 1850 2035 2200 2750 3256 3700 4070 4625 5500 7400 8140 9250 10175 11000 16280 18500 20350 37000 40700 50875 81400 101750 132739 203500 265478 407000 530956 663695 1061912 1327390 1460129 2654780 2920258 3318475 4911343 5309560 5840516 6636950 7300645 9822686 11681032 13273900 14601290 16592375 19645372 24556715 26547800 29202580 33184750 36503225 39290744 49113430 54024773 58405160 66369500 73006450 98226860 108049546 122783575 132739000 146012900 182516125 196453720 216099092 245567150 270123865 292025800 365032250 432198184 491134300 540247730 613917875 730064500 982268600 1080495460 1227835750 1350619325 1460129000 2160990920 2455671500 2701238650 4911343000 5402477300 6753096625 10804954600 13506193250 27012386500 54024773000