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54451010200 = 23521723130389
BaseRepresentation
bin110010101101100010…
…000111101010011000
312012112210011220202111
4302231202013222120
51343003424311300
641003042042104
73635226643606
oct625542075230
9165483156674
1054451010200
11211021a2984
12a677649334
135199c52b82
1428c7926876
15163a5079ba
hexcad887a98

54451010200 has 144 divisors (see below), whose sum is σ = 138826382400. Its totient is φ = 19837286400.

The previous prime is 54451010191. The next prime is 54451010311. The reversal of 54451010200 is 201015445.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1776606 + ... + 1806994.

It is an arithmetic number, because the mean of its divisors is an integer number (964072100).

Almost surely, 254451010200 is an apocalyptic number.

54451010200 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 54451010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69413191200).

54451010200 is an abundant number, since it is smaller than the sum of its proper divisors (84375372200).

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

54451010200 is a wasteful number, since it uses less digits than its factorization.

54451010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30470 (or 30444 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 54451010200 its reverse (201015445), we get a palindrome (54652025645).

The spelling of 54451010200 in words is "fifty-four billion, four hundred fifty-one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 289 310 340 425 527 578 620 680 775 850 1054 1156 1240 1445 1550 1700 2108 2312 2635 2890 3100 3400 4216 5270 5780 6200 7225 8959 10540 11560 13175 14450 17918 21080 26350 28900 30389 35836 44795 52700 57800 60778 71672 89590 105400 121556 151945 179180 223975 243112 303890 358360 447950 516613 607780 759725 895900 942059 1033226 1215560 1519450 1791800 1884118 2066452 2583065 3038900 3768236 4132904 4710295 5166130 6077800 7536472 8782421 9420590 10332260 12915325 16015003 17564842 18841180 20664520 23551475 25830650 32030006 35129684 37682360 43912105 47102950 51661300 64060012 70259368 80075015 87824210 94205900 103322600 128120024 160150030 175648420 188411800 219560525 272255051 320300060 351296840 400375075 439121050 544510102 640600120 800750150 878242100 1089020204 1361275255 1601500300 1756484200 2178040408 2722550510 3203000600 5445101020 6806376275 10890202040 13612752550 27225505100 54451010200