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53454341200 = 24521310994309
BaseRepresentation
bin110001110010001000…
…001000010001010000
312002222022202212220211
4301302020020101100
51333433302404300
640320120013504
73601435255231
oct616210102120
9162868685824
1053454341200
1120740644797
12a439901294
13506b610bc0
142831405088
1515ccc834ba
hexc72208450

53454341200 has 120 divisors (see below), whose sum is σ = 139573141400. Its totient is φ = 19555706880.

The previous prime is 53454341191. The next prime is 53454341207. The reversal of 53454341200 is 214345435.

It can be written as a sum of positive squares in 12 ways, for example, as 8087045184 + 45367296016 = 89928^2 + 212996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53454341207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519646 + ... + 613954.

Almost surely, 253454341200 is an apocalyptic number.

53454341200 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 53454341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69786570700).

53454341200 is an abundant number, since it is smaller than the sum of its proper divisors (86118800200).

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

53454341200 is a wasteful number, since it uses less digits than its factorization.

53454341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94449 (or 94438 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 53454341200 its reverse (214345435), we get a palindrome (53668686635).

The spelling of 53454341200 in words is "fifty-three billion, four hundred fifty-four million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 109 130 200 208 218 260 325 400 436 520 545 650 872 1040 1090 1300 1417 1744 2180 2600 2725 2834 4360 5200 5450 5668 7085 8720 10900 11336 14170 21800 22672 28340 35425 43600 56680 70850 94309 113360 141700 188618 283400 377236 471545 566800 754472 943090 1226017 1508944 1886180 2357725 2452034 3772360 4715450 4904068 6130085 7544720 9430900 9808136 10279681 12260170 18861800 19616272 20559362 24520340 30650425 37723600 41118724 49040680 51398405 61300850 82237448 98081360 102796810 122601700 133635853 164474896 205593620 245203400 256992025 267271706 411187240 490406800 513984050 534543412 668179265 822374480 1027968100 1069086824 1336358530 2055936200 2138173648 2672717060 3340896325 4111872400 5345434120 6681792650 10690868240 13363585300 26727170600 53454341200